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Finding the Fourth Proportional to 641.89, 962.84 and 353.17

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Solution

The fourth proportional to 641.89, 962.84 and 353.17 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.89 : 962.84 = 353.17 : x
  2. Step 2: Convert to fraction form
    641.89/962.84 = 353.17/x
  3. Step 3: Cross multiply
    641.89x = 962.84 × 353.17
  4. Step 4: Simplify right side
    641.89x = 340,046.20
  5. Step 5: Solve for x
    x = 340,046.20/641.89
  6. Step 6: Final answer
    x = 529.76

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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.