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Finding the Fourth Proportional to 511.89, 768.27 and 203.96

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Solution

The fourth proportional to 511.89, 768.27 and 203.96 is: 306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.89 : 768.27 = 203.96 : x
  2. Step 2: Convert to fraction form
    511.89/768.27 = 203.96/x
  3. Step 3: Cross multiply
    511.89x = 768.27 × 203.96
  4. Step 4: Simplify right side
    511.89x = 156,691.49
  5. Step 5: Solve for x
    x = 156,691.49/511.89
  6. Step 6: Final answer
    x = 306.11

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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.