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Finding the Fourth Proportional to 512.27, 768.40 and 219.74

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Solution

The fourth proportional to 512.27, 768.40 and 219.74 is: 329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.27 : 768.40 = 219.74 : x
  2. Step 2: Convert to fraction form
    512.27/768.40 = 219.74/x
  3. Step 3: Cross multiply
    512.27x = 768.40 × 219.74
  4. Step 4: Simplify right side
    512.27x = 168,851.85
  5. Step 5: Solve for x
    x = 168,851.85/512.27
  6. Step 6: Final answer
    x = 329.62

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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.