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Finding the Fourth Proportional to 512.87, 769.05 and 252.77

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Solution

The fourth proportional to 512.87, 769.05 and 252.77 is: 379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 769.05 = 252.77 : x
  2. Step 2: Convert to fraction form
    512.87/769.05 = 252.77/x
  3. Step 3: Cross multiply
    512.87x = 769.05 × 252.77
  4. Step 4: Simplify right side
    512.87x = 194,388.92
  5. Step 5: Solve for x
    x = 194,388.92/512.87
  6. Step 6: Final answer
    x = 379.03

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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.