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Finding the Fourth Proportional to 512.56, 769.02 and 223.96

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Solution

The fourth proportional to 512.56, 769.02 and 223.96 is: 336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 769.02 = 223.96 : x
  2. Step 2: Convert to fraction form
    512.56/769.02 = 223.96/x
  3. Step 3: Cross multiply
    512.56x = 769.02 × 223.96
  4. Step 4: Simplify right side
    512.56x = 172,229.72
  5. Step 5: Solve for x
    x = 172,229.72/512.56
  6. Step 6: Final answer
    x = 336.02

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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.