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Finding the Fourth Proportional to 382.57, 527.74 and 234.95

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Solution

The fourth proportional to 382.57, 527.74 and 234.95 is: 324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 527.74 = 234.95 : x
  2. Step 2: Convert to fraction form
    382.57/527.74 = 234.95/x
  3. Step 3: Cross multiply
    382.57x = 527.74 × 234.95
  4. Step 4: Simplify right side
    382.57x = 123,988.70
  5. Step 5: Solve for x
    x = 123,988.70/382.57
  6. Step 6: Final answer
    x = 324.10

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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.