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Finding the Fourth Proportional to 641.23, 962.05 and 487.33

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Solution

The fourth proportional to 641.23, 962.05 and 487.33 is: 731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.23 : 962.05 = 487.33 : x
  2. Step 2: Convert to fraction form
    641.23/962.05 = 487.33/x
  3. Step 3: Cross multiply
    641.23x = 962.05 × 487.33
  4. Step 4: Simplify right side
    641.23x = 468,835.83
  5. Step 5: Solve for x
    x = 468,835.83/641.23
  6. Step 6: Final answer
    x = 731.15

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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.