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Finding the Fourth Proportional to 512.72, 769.32 and 252.90

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Solution

The fourth proportional to 512.72, 769.32 and 252.90 is: 379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 769.32 = 252.90 : x
  2. Step 2: Convert to fraction form
    512.72/769.32 = 252.90/x
  3. Step 3: Cross multiply
    512.72x = 769.32 × 252.90
  4. Step 4: Simplify right side
    512.72x = 194,561.03
  5. Step 5: Solve for x
    x = 194,561.03/512.72
  6. Step 6: Final answer
    x = 379.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.