Hamilton retained their place in the Clydesdale Bank Premier League despite losing 3-0 at home to derby rivals Motherwell.
Results at Falkirk and Inverness leave those two sides facing a final-day battle to beat the drop while Billy Reid's team, promoted last season, stay up.
David Clarkson opened the scoring midway through the first half, Cillian Sheridan made it 2-0 just before the hour and substitute John Sutton rounded off the win by netting five minutes from time.
Hamilton manager Billy Reid welcomed midfielder James McArthur back from suspension as one of four changes to his side at New Douglas Park.
Joel Thomas and Derek Lyle formed the forward partnership and Chris Swailes came into defence, with Richard Offiong and the injured Trent McClenahan dropping out of the squad, while James Gibson and Paul McGowan were on the bench.
Visitors Motherwell made three changes: captain Stephen Craigan returned from injury, Maros Klimpl was promoted from the bench and Shaun Hutchinson made his first start in place of the suspended Mark Reynolds, injured Keith Lasley and Steven Hammell.
Hamilton started the game third from bottom of the table, just four points ahead of basement side St Mirren with two games to go.
Roy Keane and several Premier League scouts were in attendance at New Douglas Park to watch the performance of Accies' highly-rated teenage midfielder James McCarthy.
He helped set up the first chance of the game on three minutes, but Lyle mis-hit the eventual shot from his cross well wide of the near post.
McArthur came close minutes later after a pass from Thomas, but after cutting inside, the midfielder saw his acute-angled shot cleared off the line by Craigan.
Motherwell earned a free kick outside the left side of the box after good work by Clarkson and Stephen Hughes, but Jim O'Brien's set-piece was headed clear, and Klimpl and Cillian Sheridan both tried their luck with distance drives which failed to trouble Tomas Cerny.
Motherwell took the lead with a blistering counter-attack midway through the first half after goalkeeper Graeme Smith had punched clear a Lyle free-kick and McArthur's attempt from the rebound.
Sheridan blasted his way to the byline at the opposite end and although Cerny blocked his initial shot from beside the left-hand post, the striker coolly played it back to Clarkson, who swept home from six yards.
Hamilton continually pressed for an equaliser and only a good diving block by Smith repelled Mark McLaughlin's close-range volley from a Lyle free-kick, while Swailes' header from Brian Easton's corner was just kept out at the left-hand post.
Alex Neil then orchestrated a good period of possession on the right, but Lyle was unable to connect with Canning's cross; and Hutchinson scrambled to clear off the line when Lyle sent in a dangerous shot in injury-time.
HT: Hamilton 0 Motherwell 1
Motherwell were first to threaten after the break but Accies tried to find an equaliser when Neil lofted the ball over the defence to the byline, only to find Thomas unable to control it.
The hosts withdrew defender Swailes on 52 minutes to introduce forward Kenny Deuchar, while Thomas blasted over the bar after linking with Simon Mensing on the right.
However, it was Motherwell who doubled their lead shortly before the hour.
The home goalkeeper and defence failed to deal with a Stephen Hughes cross and it broke to Sheridan, who slotted it home from an acute angle beside the right-hand post.
McLaughlin then fired over the bar, while Canning's header from an inswinging
Lyle corner to the far post was punched away and Mensing tried a dipping shot from an Easton cross, but was off target.
Motherwell substitute Steven McGarry was set up for a shot by some good footwork on the left by Jim O'Brien, but his strike was easily blocked.
Stuart Taylor had an effort for Hamilton within a minute of being introduced as a substitute by the home side in place of McArthur, but although Accies hustled and harried around the penalty box, they never troubled Smith in the closing stages or threatened to salvage what could have been a vital result.
Paul McGowan saw his stretched effort slide narrowly wide and from Lyle's corner, the ball hit off three home players' feet as it rolled agonisingly across the face of goal.
Instead, it was Motherwell who made it 3-0 five minutes from time.
Sheridan reached the byline and cut the ball back through a crowded box for substitute John Sutton, who lashed home from close range eight minutes after coming on.
Teams
Hamilton Cerny, Swailes (Deuchar 54), Canning, McLaughlin,Easton, Mensing, McCarthy, Neil, McArthur (Taylor 77), Lyle,Thomas (McGowan 61).
Subs Not Used: Murdoch, Corcoran, Gibson, Evans.
Booked: McArthur, Neil, McLaughlin.
Motherwell Graeme Smith, Quinn, Craigan, McLean, Hutchinson,Klimpl, Hughes, O'Brien (Slane 86), Clarkson (Sutton 78),Murphy (McGarry 67), Sheridan.
Subs Not Used: Krysiak, Malcolm, Darren Smith, Meechan.
Booked: Clarkson, Klimpl.
Goals: Clarkson 22, Sheridan 58, Sutton 86.
Att: 3,383
Ref: A Muir (Scotland).