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Finding the Fourth Proportional to 463.02, 638.17 and 393.27

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Solution

The fourth proportional to 463.02, 638.17 and 393.27 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.17 = 393.27 : x
  2. Step 2: Convert to fraction form
    463.02/638.17 = 393.27/x
  3. Step 3: Cross multiply
    463.02x = 638.17 × 393.27
  4. Step 4: Simplify right side
    463.02x = 250,973.12
  5. Step 5: Solve for x
    x = 250,973.12/463.02
  6. Step 6: Final answer
    x = 542.04

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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.