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Finding the Fourth Proportional to 462.61, 638.56 and 276.16

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Solution

The fourth proportional to 462.61, 638.56 and 276.16 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 638.56 = 276.16 : x
  2. Step 2: Convert to fraction form
    462.61/638.56 = 276.16/x
  3. Step 3: Cross multiply
    462.61x = 638.56 × 276.16
  4. Step 4: Simplify right side
    462.61x = 176,344.73
  5. Step 5: Solve for x
    x = 176,344.73/462.61
  6. Step 6: Final answer
    x = 381.20

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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.