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Finding the Fourth Proportional to 462.64, 638.40 and 285.61

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Solution

The fourth proportional to 462.64, 638.40 and 285.61 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 638.40 = 285.61 : x
  2. Step 2: Convert to fraction form
    462.64/638.40 = 285.61/x
  3. Step 3: Cross multiply
    462.64x = 638.40 × 285.61
  4. Step 4: Simplify right side
    462.64x = 182,333.42
  5. Step 5: Solve for x
    x = 182,333.42/462.64
  6. Step 6: Final answer
    x = 394.12

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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.