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Finding the Fourth Proportional to 641.93, 961.09 and 410.24

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Solution

The fourth proportional to 641.93, 961.09 and 410.24 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.93 : 961.09 = 410.24 : x
  2. Step 2: Convert to fraction form
    641.93/961.09 = 410.24/x
  3. Step 3: Cross multiply
    641.93x = 961.09 × 410.24
  4. Step 4: Simplify right side
    641.93x = 394,278.94
  5. Step 5: Solve for x
    x = 394,278.94/641.93
  6. Step 6: Final answer
    x = 614.21

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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.