A jury on Thursday said that Samsung Electronics would have to pay Apple nearly $290 million in damages for violating patents, putting an end to one chapter in the long-running patent saga between the two tech companies. In August last year, a California jury determined that Samsung had infringed on a series of Apple patents and needed to pay more than $1 billion in damages. But the judge later revisited that sum and vacated $450 million of the original award, saying it was unclear how the jury calculated that portion, but said Samsung owed the remaining $600 million. The latest trial was to determine whether Samsung needed to pay more or less than the $450 million that was vacated. In the trial, which ran for about one week in San Jose, Calif., lawyers for Apple and Samsung focused on how to calculate the damages: in lost profits or in royalties. The trial covered five patents and 13 products.