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Finding the Fourth Proportional to 463.27, 639.36 and 380.15

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Solution

The fourth proportional to 463.27, 639.36 and 380.15 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.27 : 639.36 = 380.15 : x
  2. Step 2: Convert to fraction form
    463.27/639.36 = 380.15/x
  3. Step 3: Cross multiply
    463.27x = 639.36 × 380.15
  4. Step 4: Simplify right side
    463.27x = 243,052.70
  5. Step 5: Solve for x
    x = 243,052.70/463.27
  6. Step 6: Final answer
    x = 524.65

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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.