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Finding the Fourth Proportional to 512.52, 769.06 and 475.80

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Solution

The fourth proportional to 512.52, 769.06 and 475.80 is: 713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 769.06 = 475.80 : x
  2. Step 2: Convert to fraction form
    512.52/769.06 = 475.80/x
  3. Step 3: Cross multiply
    512.52x = 769.06 × 475.80
  4. Step 4: Simplify right side
    512.52x = 365,918.75
  5. Step 5: Solve for x
    x = 365,918.75/512.52
  6. Step 6: Final answer
    x = 713.96

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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.