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Finding the Fourth Proportional to 382.03, 527.11 and 232.61

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Solution

The fourth proportional to 382.03, 527.11 and 232.61 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.03 : 527.11 = 232.61 : x
  2. Step 2: Convert to fraction form
    382.03/527.11 = 232.61/x
  3. Step 3: Cross multiply
    382.03x = 527.11 × 232.61
  4. Step 4: Simplify right side
    382.03x = 122,611.06
  5. Step 5: Solve for x
    x = 122,611.06/382.03
  6. Step 6: Final answer
    x = 320.95

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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.