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Finding the Fourth Proportional to 641.17, 960.12 and 410.32

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Solution

The fourth proportional to 641.17, 960.12 and 410.32 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.17 : 960.12 = 410.32 : x
  2. Step 2: Convert to fraction form
    641.17/960.12 = 410.32/x
  3. Step 3: Cross multiply
    641.17x = 960.12 × 410.32
  4. Step 4: Simplify right side
    641.17x = 393,951.64
  5. Step 5: Solve for x
    x = 393,951.64/641.17
  6. Step 6: Final answer
    x = 614.43

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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.