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Finding the Fourth Proportional to 512.06, 768.17 and 252.05

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Solution

The fourth proportional to 512.06, 768.17 and 252.05 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 768.17 = 252.05 : x
  2. Step 2: Convert to fraction form
    512.06/768.17 = 252.05/x
  3. Step 3: Cross multiply
    512.06x = 768.17 × 252.05
  4. Step 4: Simplify right side
    512.06x = 193,617.91
  5. Step 5: Solve for x
    x = 193,617.91/512.06
  6. Step 6: Final answer
    x = 378.11

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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.