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Finding the Fourth Proportional to 512.11, 769.59 and 410.46

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Solution

The fourth proportional to 512.11, 769.59 and 410.46 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.11 : 769.59 = 410.46 : x
  2. Step 2: Convert to fraction form
    512.11/769.59 = 410.46/x
  3. Step 3: Cross multiply
    512.11x = 769.59 × 410.46
  4. Step 4: Simplify right side
    512.11x = 315,885.91
  5. Step 5: Solve for x
    x = 315,885.91/512.11
  6. Step 6: Final answer
    x = 616.83

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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.