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Finding the Fourth Proportional to 513.38, 769.97 and 205.31

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Solution

The fourth proportional to 513.38, 769.97 and 205.31 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 769.97 = 205.31 : x
  2. Step 2: Convert to fraction form
    513.38/769.97 = 205.31/x
  3. Step 3: Cross multiply
    513.38x = 769.97 × 205.31
  4. Step 4: Simplify right side
    513.38x = 158,084.98
  5. Step 5: Solve for x
    x = 158,084.98/513.38
  6. Step 6: Final answer
    x = 307.93

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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.