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Finding the Fourth Proportional to 382.25, 527.37 and 234.73

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Solution

The fourth proportional to 382.25, 527.37 and 234.73 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 527.37 = 234.73 : x
  2. Step 2: Convert to fraction form
    382.25/527.37 = 234.73/x
  3. Step 3: Cross multiply
    382.25x = 527.37 × 234.73
  4. Step 4: Simplify right side
    382.25x = 123,789.56
  5. Step 5: Solve for x
    x = 123,789.56/382.25
  6. Step 6: Final answer
    x = 323.84

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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.