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Finding the Fourth Proportional to 463.32, 638.28 and 380.16

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Solution

The fourth proportional to 463.32, 638.28 and 380.16 is: 523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 638.28 = 380.16 : x
  2. Step 2: Convert to fraction form
    463.32/638.28 = 380.16/x
  3. Step 3: Cross multiply
    463.32x = 638.28 × 380.16
  4. Step 4: Simplify right side
    463.32x = 242,648.52
  5. Step 5: Solve for x
    x = 242,648.52/463.32
  6. Step 6: Final answer
    x = 523.72

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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.