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Finding the Fourth Proportional to 667.92, 921.88 and 447.24

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Solution

The fourth proportional to 667.92, 921.88 and 447.24 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.92 : 921.88 = 447.24 : x
  2. Step 2: Convert to fraction form
    667.92/921.88 = 447.24/x
  3. Step 3: Cross multiply
    667.92x = 921.88 × 447.24
  4. Step 4: Simplify right side
    667.92x = 412,301.61
  5. Step 5: Solve for x
    x = 412,301.61/667.92
  6. Step 6: Final answer
    x = 617.29

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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.