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Finding the Fourth Proportional to 512.75, 769.79 and 397.29

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Solution

The fourth proportional to 512.75, 769.79 and 397.29 is: 596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 769.79 = 397.29 : x
  2. Step 2: Convert to fraction form
    512.75/769.79 = 397.29/x
  3. Step 3: Cross multiply
    512.75x = 769.79 × 397.29
  4. Step 4: Simplify right side
    512.75x = 305,827.88
  5. Step 5: Solve for x
    x = 305,827.88/512.75
  6. Step 6: Final answer
    x = 596.44

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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.