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Finding the Fourth Proportional to 641.32, 961.35 and 407.17

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Solution

The fourth proportional to 641.32, 961.35 and 407.17 is: 610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 961.35 = 407.17 : x
  2. Step 2: Convert to fraction form
    641.32/961.35 = 407.17/x
  3. Step 3: Cross multiply
    641.32x = 961.35 × 407.17
  4. Step 4: Simplify right side
    641.32x = 391,432.88
  5. Step 5: Solve for x
    x = 391,432.88/641.32
  6. Step 6: Final answer
    x = 610.36

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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.