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Finding the Fourth Proportional to 462.36, 638.57 and 314.74

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Solution

The fourth proportional to 462.36, 638.57 and 314.74 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 638.57 = 314.74 : x
  2. Step 2: Convert to fraction form
    462.36/638.57 = 314.74/x
  3. Step 3: Cross multiply
    462.36x = 638.57 × 314.74
  4. Step 4: Simplify right side
    462.36x = 200,978.76
  5. Step 5: Solve for x
    x = 200,978.76/462.36
  6. Step 6: Final answer
    x = 434.68

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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.