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Finding the Fourth Proportional to 463.72, 639.82 and 277.27

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Solution

The fourth proportional to 463.72, 639.82 and 277.27 is: 382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 639.82 = 277.27 : x
  2. Step 2: Convert to fraction form
    463.72/639.82 = 277.27/x
  3. Step 3: Cross multiply
    463.72x = 639.82 × 277.27
  4. Step 4: Simplify right side
    463.72x = 177,402.89
  5. Step 5: Solve for x
    x = 177,402.89/463.72
  6. Step 6: Final answer
    x = 382.56

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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.