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Finding the Fourth Proportional to 512.80, 768.32 and 281.88

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Solution

The fourth proportional to 512.80, 768.32 and 281.88 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 768.32 = 281.88 : x
  2. Step 2: Convert to fraction form
    512.80/768.32 = 281.88/x
  3. Step 3: Cross multiply
    512.80x = 768.32 × 281.88
  4. Step 4: Simplify right side
    512.80x = 216,571.42
  5. Step 5: Solve for x
    x = 216,571.42/512.80
  6. Step 6: Final answer
    x = 422.34

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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.