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Finding the Fourth Proportional to 462.24, 638.28 and 385.02

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Solution

The fourth proportional to 462.24, 638.28 and 385.02 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 638.28 = 385.02 : x
  2. Step 2: Convert to fraction form
    462.24/638.28 = 385.02/x
  3. Step 3: Cross multiply
    462.24x = 638.28 × 385.02
  4. Step 4: Simplify right side
    462.24x = 245,750.57
  5. Step 5: Solve for x
    x = 245,750.57/462.24
  6. Step 6: Final answer
    x = 531.65

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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.