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Finding the Fourth Proportional to 512.62, 769.38 and 205.07

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Solution

The fourth proportional to 512.62, 769.38 and 205.07 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.62 : 769.38 = 205.07 : x
  2. Step 2: Convert to fraction form
    512.62/769.38 = 205.07/x
  3. Step 3: Cross multiply
    512.62x = 769.38 × 205.07
  4. Step 4: Simplify right side
    512.62x = 157,778.68
  5. Step 5: Solve for x
    x = 157,778.68/512.62
  6. Step 6: Final answer
    x = 307.79

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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.