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Finding the Fourth Proportional to 641.73, 962.73 and 230.88

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Solution

The fourth proportional to 641.73, 962.73 and 230.88 is: 346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 962.73 = 230.88 : x
  2. Step 2: Convert to fraction form
    641.73/962.73 = 230.88/x
  3. Step 3: Cross multiply
    641.73x = 962.73 × 230.88
  4. Step 4: Simplify right side
    641.73x = 222,275.10
  5. Step 5: Solve for x
    x = 222,275.10/641.73
  6. Step 6: Final answer
    x = 346.37

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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.