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Finding the Fourth Proportional to 462.49, 638.31 and 285.55

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Solution

The fourth proportional to 462.49, 638.31 and 285.55 is: 394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.49 : 638.31 = 285.55 : x
  2. Step 2: Convert to fraction form
    462.49/638.31 = 285.55/x
  3. Step 3: Cross multiply
    462.49x = 638.31 × 285.55
  4. Step 4: Simplify right side
    462.49x = 182,269.42
  5. Step 5: Solve for x
    x = 182,269.42/462.49
  6. Step 6: Final answer
    x = 394.10

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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.