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Finding the Fourth Proportional to 641.62, 885.51 and 392.88

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Solution

The fourth proportional to 641.62, 885.51 and 392.88 is: 542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.62 : 885.51 = 392.88 : x
  2. Step 2: Convert to fraction form
    641.62/885.51 = 392.88/x
  3. Step 3: Cross multiply
    641.62x = 885.51 × 392.88
  4. Step 4: Simplify right side
    641.62x = 347,902.49
  5. Step 5: Solve for x
    x = 347,902.49/641.62
  6. Step 6: Final answer
    x = 542.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.