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Finding the Fourth Proportional to 512.22, 769.29 and 375.66

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Solution

The fourth proportional to 512.22, 769.29 and 375.66 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.22 : 769.29 = 375.66 : x
  2. Step 2: Convert to fraction form
    512.22/769.29 = 375.66/x
  3. Step 3: Cross multiply
    512.22x = 769.29 × 375.66
  4. Step 4: Simplify right side
    512.22x = 288,991.48
  5. Step 5: Solve for x
    x = 288,991.48/512.22
  6. Step 6: Final answer
    x = 564.19

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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.