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Finding the Fourth Proportional to 641.73, 963.96 and 460.29

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Solution

The fourth proportional to 641.73, 963.96 and 460.29 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 963.96 = 460.29 : x
  2. Step 2: Convert to fraction form
    641.73/963.96 = 460.29/x
  3. Step 3: Cross multiply
    641.73x = 963.96 × 460.29
  4. Step 4: Simplify right side
    641.73x = 443,701.15
  5. Step 5: Solve for x
    x = 443,701.15/641.73
  6. Step 6: Final answer
    x = 691.41

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Why These Related Problems?

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