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Finding the Fourth Proportional to 641.43, 961.36 and 349.09

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Solution

The fourth proportional to 641.43, 961.36 and 349.09 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.43 : 961.36 = 349.09 : x
  2. Step 2: Convert to fraction form
    641.43/961.36 = 349.09/x
  3. Step 3: Cross multiply
    641.43x = 961.36 × 349.09
  4. Step 4: Simplify right side
    641.43x = 335,597.89
  5. Step 5: Solve for x
    x = 335,597.89/641.43
  6. Step 6: Final answer
    x = 523.20

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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.