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Finding the Fourth Proportional to 512.26, 768.39 and 295.39

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Solution

The fourth proportional to 512.26, 768.39 and 295.39 is: 443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 768.39 = 295.39 : x
  2. Step 2: Convert to fraction form
    512.26/768.39 = 295.39/x
  3. Step 3: Cross multiply
    512.26x = 768.39 × 295.39
  4. Step 4: Simplify right side
    512.26x = 226,974.72
  5. Step 5: Solve for x
    x = 226,974.72/512.26
  6. Step 6: Final answer
    x = 443.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.