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Finding the Fourth Proportional to 512.69, 769.23 and 293.31

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Solution

The fourth proportional to 512.69, 769.23 and 293.31 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.69 : 769.23 = 293.31 : x
  2. Step 2: Convert to fraction form
    512.69/769.23 = 293.31/x
  3. Step 3: Cross multiply
    512.69x = 769.23 × 293.31
  4. Step 4: Simplify right side
    512.69x = 225,622.85
  5. Step 5: Solve for x
    x = 225,622.85/512.69
  6. Step 6: Final answer
    x = 440.08

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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.