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Finding the Fourth Proportional to 462.77, 638.13 and 344.55

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Solution

The fourth proportional to 462.77, 638.13 and 344.55 is: 475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.77 : 638.13 = 344.55 : x
  2. Step 2: Convert to fraction form
    462.77/638.13 = 344.55/x
  3. Step 3: Cross multiply
    462.77x = 638.13 × 344.55
  4. Step 4: Simplify right side
    462.77x = 219,867.69
  5. Step 5: Solve for x
    x = 219,867.69/462.77
  6. Step 6: Final answer
    x = 475.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.