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Finding the Fourth Proportional to 512.19, 768.46 and 219.57

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Solution

The fourth proportional to 512.19, 768.46 and 219.57 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 768.46 = 219.57 : x
  2. Step 2: Convert to fraction form
    512.19/768.46 = 219.57/x
  3. Step 3: Cross multiply
    512.19x = 768.46 × 219.57
  4. Step 4: Simplify right side
    512.19x = 168,730.76
  5. Step 5: Solve for x
    x = 168,730.76/512.19
  6. Step 6: Final answer
    x = 329.43

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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.