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Finding the Fourth Proportional to 462.66, 638.02 and 392.92

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Solution

The fourth proportional to 462.66, 638.02 and 392.92 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 638.02 = 392.92 : x
  2. Step 2: Convert to fraction form
    462.66/638.02 = 392.92/x
  3. Step 3: Cross multiply
    462.66x = 638.02 × 392.92
  4. Step 4: Simplify right side
    462.66x = 250,690.82
  5. Step 5: Solve for x
    x = 250,690.82/462.66
  6. Step 6: Final answer
    x = 541.85

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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.