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Finding the Fourth Proportional to 462.65, 638.03 and 338.27

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Solution

The fourth proportional to 462.65, 638.03 and 338.27 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 638.03 = 338.27 : x
  2. Step 2: Convert to fraction form
    462.65/638.03 = 338.27/x
  3. Step 3: Cross multiply
    462.65x = 638.03 × 338.27
  4. Step 4: Simplify right side
    462.65x = 215,824.06
  5. Step 5: Solve for x
    x = 215,824.06/462.65
  6. Step 6: Final answer
    x = 466.50

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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.