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Finding the Fourth Proportional to 512.16, 768.34 and 219.62

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Solution

The fourth proportional to 512.16, 768.34 and 219.62 is: 329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 768.34 = 219.62 : x
  2. Step 2: Convert to fraction form
    512.16/768.34 = 219.62/x
  3. Step 3: Cross multiply
    512.16x = 768.34 × 219.62
  4. Step 4: Simplify right side
    512.16x = 168,745.44
  5. Step 5: Solve for x
    x = 168,745.44/512.16
  6. Step 6: Final answer
    x = 329.48

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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.