Persevered rhymes with:
revered, veered, adhered, appeared, beaird, beard, bioengineered, cashiered, cheered, cleared, cohered, commandeered, disappeared, eared, feared, geared, interfered, jeered, neared, peered, pioneered, premiered, reappeared, reared, revered, seared, sheard, sheared, smeared, sneered, steered, veered, volunteered, weird
Persevered sounds like:
poor-spirited, pressboard, prospered, prosperity