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Finding the Fourth Proportional to 519.38, 778.79 and 154.12

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Solution

The fourth proportional to 519.38, 778.79 and 154.12 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 778.79 = 154.12 : x
  2. Step 2: Convert to fraction form
    519.38/778.79 = 154.12/x
  3. Step 3: Cross multiply
    519.38x = 778.79 × 154.12
  4. Step 4: Simplify right side
    519.38x = 120,022.45
  5. Step 5: Solve for x
    x = 120,022.45/519.38
  6. Step 6: Final answer
    x = 231.09

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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.