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Finding the Fourth Proportional to 641.67, 962.37 and 230.73

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Solution

The fourth proportional to 641.67, 962.37 and 230.73 is: 346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 962.37 = 230.73 : x
  2. Step 2: Convert to fraction form
    641.67/962.37 = 230.73/x
  3. Step 3: Cross multiply
    641.67x = 962.37 × 230.73
  4. Step 4: Simplify right side
    641.67x = 222,047.63
  5. Step 5: Solve for x
    x = 222,047.63/641.67
  6. Step 6: Final answer
    x = 346.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.