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Finding the Fourth Proportional to 512.11, 768.19 and 295.23

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Solution

The fourth proportional to 512.11, 768.19 and 295.23 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.11 : 768.19 = 295.23 : x
  2. Step 2: Convert to fraction form
    512.11/768.19 = 295.23/x
  3. Step 3: Cross multiply
    512.11x = 768.19 × 295.23
  4. Step 4: Simplify right side
    512.11x = 226,792.73
  5. Step 5: Solve for x
    x = 226,792.73/512.11
  6. Step 6: Final answer
    x = 442.86

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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.