East Fife exited Division Two after only one season despite a narrow victory over already-relegated Stenhousemuir at Ochilview.
Greig McDonald headed the winner from a Brian Sairdairn cross six minutes from time, but Arbroath's win at Berwick condemned the Fifers to relegation.
East Fife's Euan Donaldson had earlier struck a superb free-kick against the crossbar.
McDonald was denied by a fine save from Willie McCulloch before his winner.
Gary O'Connor made an equally fine stop at the other end to turn away Paul Murphy's header from Tony Smith's corner.
Stenhousemuir: Willie McCulloch, Harty, Paul Murphy, Smith, Booth, Lauchlan, Cosgrove, Morrison, Carr, Brown, Savage.
Subs: Kerrigan, Sinclair, Craig, Easton, Orr.
East Fife: O'Connor, Hall, Mathie, Blair, Lumsden, McMillan, Mortimer, McDonald, Donaldson, Mitchell, Gilbert.
Subs: Bain, Herkes, Fairbairn, Deuchar, Graham.
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