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Finding the Fourth Proportional to 463.04, 638.80 and 392.80

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Solution

The fourth proportional to 463.04, 638.80 and 392.80 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 638.80 = 392.80 : x
  2. Step 2: Convert to fraction form
    463.04/638.80 = 392.80/x
  3. Step 3: Cross multiply
    463.04x = 638.80 × 392.80
  4. Step 4: Simplify right side
    463.04x = 250,920.64
  5. Step 5: Solve for x
    x = 250,920.64/463.04
  6. Step 6: Final answer
    x = 541.90

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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.