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Finding the Fourth Proportional to 463.92, 640.65 and 397.14

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Solution

The fourth proportional to 463.92, 640.65 and 397.14 is: 548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 640.65 = 397.14 : x
  2. Step 2: Convert to fraction form
    463.92/640.65 = 397.14/x
  3. Step 3: Cross multiply
    463.92x = 640.65 × 397.14
  4. Step 4: Simplify right side
    463.92x = 254,427.74
  5. Step 5: Solve for x
    x = 254,427.74/463.92
  6. Step 6: Final answer
    x = 548.43

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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.