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Finding the Fourth Proportional to 462.56, 638 and 314.96

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Solution

The fourth proportional to 462.56, 638 and 314.96 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 638 = 314.96 : x
  2. Step 2: Convert to fraction form
    462.56/638 = 314.96/x
  3. Step 3: Cross multiply
    462.56x = 638 × 314.96
  4. Step 4: Simplify right side
    462.56x = 200,944.48
  5. Step 5: Solve for x
    x = 200,944.48/462.56
  6. Step 6: Final answer
    x = 434.42

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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.