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Finding the Fourth Proportional to 513.14, 769.26 and 239.09

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Solution

The fourth proportional to 513.14, 769.26 and 239.09 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 769.26 = 239.09 : x
  2. Step 2: Convert to fraction form
    513.14/769.26 = 239.09/x
  3. Step 3: Cross multiply
    513.14x = 769.26 × 239.09
  4. Step 4: Simplify right side
    513.14x = 183,922.37
  5. Step 5: Solve for x
    x = 183,922.37/513.14
  6. Step 6: Final answer
    x = 358.43

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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.