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Finding the Fourth Proportional to 512.32, 769.20 and 447.20

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Solution

The fourth proportional to 512.32, 769.20 and 447.20 is: 671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 769.20 = 447.20 : x
  2. Step 2: Convert to fraction form
    512.32/769.20 = 447.20/x
  3. Step 3: Cross multiply
    512.32x = 769.20 × 447.20
  4. Step 4: Simplify right side
    512.32x = 343,986.24
  5. Step 5: Solve for x
    x = 343,986.24/512.32
  6. Step 6: Final answer
    x = 671.43

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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.