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Finding the Fourth Proportional to 641.75, 961.97 and 410.90

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Solution

The fourth proportional to 641.75, 961.97 and 410.90 is: 615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.75 : 961.97 = 410.90 : x
  2. Step 2: Convert to fraction form
    641.75/961.97 = 410.90/x
  3. Step 3: Cross multiply
    641.75x = 961.97 × 410.90
  4. Step 4: Simplify right side
    641.75x = 395,266.61
  5. Step 5: Solve for x
    x = 395,266.61/641.75
  6. Step 6: Final answer
    x = 615.92

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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.