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Finding the Fourth Proportional to 511.91, 768.51 and 252.17

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Solution

The fourth proportional to 511.91, 768.51 and 252.17 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.91 : 768.51 = 252.17 : x
  2. Step 2: Convert to fraction form
    511.91/768.51 = 252.17/x
  3. Step 3: Cross multiply
    511.91x = 768.51 × 252.17
  4. Step 4: Simplify right side
    511.91x = 193,793.86
  5. Step 5: Solve for x
    x = 193,793.86/511.91
  6. Step 6: Final answer
    x = 378.57

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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.