Partick produced a five-star performance at Victoria Park to move within two points of leaders Gretna.
Andy Dowie headed County in front from a Derek Adams corner after 31 minutes, but two goals from Stephen McConalogue gave the Jags a half-time lead.
Hugh Robertson levelled with a superb free-kick in 54 minutes, but Brown Ferguson made it 3-2 to the Jags three minutes later with a 25-yard strike.
Patrick Keogh and Mark Roberts sealed the win for the visitors.
Ross County: Samson, Irvine, McKinlay, Dowie (McCulloch 46), Webb, Hooks (Gunn 60), Gardyne, Adams, Ciani, Scott, Robertson (Crooks 82). Subs Not Used: Malin, Tiernan.
Goals: Dowie 31, Robertson 54.
Partick: Arthur, Campbell, Robertson (McCulloch 49), Ferguson (Strachan 76), Boyd, Keogh, Billy Gibson, Donnelly, Young, Roberts, McConalogue (Graham Gibson 82). Subs Not Used: Tuffey, Kane.
Booked: Ferguson, Keogh, Billy Gibson.
Goals: McConalogue 34, 36, Ferguson 57, Keogh 71, Roberts 79.
Ref: S Finnie