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Finding the Fourth Proportional to 512.20, 766.68 and 338.47

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Solution

The fourth proportional to 512.20, 766.68 and 338.47 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 766.68 = 338.47 : x
  2. Step 2: Convert to fraction form
    512.20/766.68 = 338.47/x
  3. Step 3: Cross multiply
    512.20x = 766.68 × 338.47
  4. Step 4: Simplify right side
    512.20x = 259,498.18
  5. Step 5: Solve for x
    x = 259,498.18/512.20
  6. Step 6: Final answer
    x = 506.63

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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.