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Finding the Fourth Proportional to 641.67, 885.42 and 408.75

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Solution

The fourth proportional to 641.67, 885.42 and 408.75 is: 564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 885.42 = 408.75 : x
  2. Step 2: Convert to fraction form
    641.67/885.42 = 408.75/x
  3. Step 3: Cross multiply
    641.67x = 885.42 × 408.75
  4. Step 4: Simplify right side
    641.67x = 361,915.43
  5. Step 5: Solve for x
    x = 361,915.43/641.67
  6. Step 6: Final answer
    x = 564.02

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Why These Related Problems?

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