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Finding the Fourth Proportional to 641.22, 962.10 and 410.04

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Solution

The fourth proportional to 641.22, 962.10 and 410.04 is: 615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.22 : 962.10 = 410.04 : x
  2. Step 2: Convert to fraction form
    641.22/962.10 = 410.04/x
  3. Step 3: Cross multiply
    641.22x = 962.10 × 410.04
  4. Step 4: Simplify right side
    641.22x = 394,499.48
  5. Step 5: Solve for x
    x = 394,499.48/641.22
  6. Step 6: Final answer
    x = 615.23

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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.