pursue to a conclusion or bring to a successful issue; "Did he go through with the treatment?"; "He implemented a new economic plan"; "She followed up his recommendations with a written proposal"
carry a stroke to natural completion after hitting or releasing a ball
an open recess in a wall at the base of a chimney where a fire can be built; "the fireplace was so large you could walk inside it"; "he laid a fire in the hearth and lit it"; "the hearth was black with the charcoal of many fires"