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Finding the Fourth Proportional to 512.72, 769.14 and 224.14

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Solution

The fourth proportional to 512.72, 769.14 and 224.14 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 769.14 = 224.14 : x
  2. Step 2: Convert to fraction form
    512.72/769.14 = 224.14/x
  3. Step 3: Cross multiply
    512.72x = 769.14 × 224.14
  4. Step 4: Simplify right side
    512.72x = 172,395.04
  5. Step 5: Solve for x
    x = 172,395.04/512.72
  6. Step 6: Final answer
    x = 336.24

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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.