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Finding the Fourth Proportional to 382.05, 527.14 and 232.74

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Solution

The fourth proportional to 382.05, 527.14 and 232.74 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 527.14 = 232.74 : x
  2. Step 2: Convert to fraction form
    382.05/527.14 = 232.74/x
  3. Step 3: Cross multiply
    382.05x = 527.14 × 232.74
  4. Step 4: Simplify right side
    382.05x = 122,686.85
  5. Step 5: Solve for x
    x = 122,686.85/382.05
  6. Step 6: Final answer
    x = 321.13

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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.