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Finding the Fourth Proportional to 463.45, 638.82 and 314.03

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Solution

The fourth proportional to 463.45, 638.82 and 314.03 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.45 : 638.82 = 314.03 : x
  2. Step 2: Convert to fraction form
    463.45/638.82 = 314.03/x
  3. Step 3: Cross multiply
    463.45x = 638.82 × 314.03
  4. Step 4: Simplify right side
    463.45x = 200,605.46
  5. Step 5: Solve for x
    x = 200,605.46/463.45
  6. Step 6: Final answer
    x = 432.85

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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.