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Finding the Fourth Proportional to 462.82, 638.88 and 385.06

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Solution

The fourth proportional to 462.82, 638.88 and 385.06 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.82 : 638.88 = 385.06 : x
  2. Step 2: Convert to fraction form
    462.82/638.88 = 385.06/x
  3. Step 3: Cross multiply
    462.82x = 638.88 × 385.06
  4. Step 4: Simplify right side
    462.82x = 246,007.13
  5. Step 5: Solve for x
    x = 246,007.13/462.82
  6. Step 6: Final answer
    x = 531.54

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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.