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Finding the Fourth Proportional to 382.09, 527.34 and 234.70

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Solution

The fourth proportional to 382.09, 527.34 and 234.70 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 527.34 = 234.70 : x
  2. Step 2: Convert to fraction form
    382.09/527.34 = 234.70/x
  3. Step 3: Cross multiply
    382.09x = 527.34 × 234.70
  4. Step 4: Simplify right side
    382.09x = 123,766.70
  5. Step 5: Solve for x
    x = 123,766.70/382.09
  6. Step 6: Final answer
    x = 323.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.