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Finding the Fourth Proportional to 512.89, 769.24 and 147.59

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Solution

The fourth proportional to 512.89, 769.24 and 147.59 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 769.24 = 147.59 : x
  2. Step 2: Convert to fraction form
    512.89/769.24 = 147.59/x
  3. Step 3: Cross multiply
    512.89x = 769.24 × 147.59
  4. Step 4: Simplify right side
    512.89x = 113,530.52
  5. Step 5: Solve for x
    x = 113,530.52/512.89
  6. Step 6: Final answer
    x = 221.36

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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.