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Finding the Fourth Proportional to 512.28, 768.96 and 252.48

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Solution

The fourth proportional to 512.28, 768.96 and 252.48 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.28 : 768.96 = 252.48 : x
  2. Step 2: Convert to fraction form
    512.28/768.96 = 252.48/x
  3. Step 3: Cross multiply
    512.28x = 768.96 × 252.48
  4. Step 4: Simplify right side
    512.28x = 194,147.02
  5. Step 5: Solve for x
    x = 194,147.02/512.28
  6. Step 6: Final answer
    x = 378.99

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Why These Related Problems?

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