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Finding the Fourth Proportional to 519.97, 779.67 and 227.35

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Solution

The fourth proportional to 519.97, 779.67 and 227.35 is: 340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 779.67 = 227.35 : x
  2. Step 2: Convert to fraction form
    519.97/779.67 = 227.35/x
  3. Step 3: Cross multiply
    519.97x = 779.67 × 227.35
  4. Step 4: Simplify right side
    519.97x = 177,257.97
  5. Step 5: Solve for x
    x = 177,257.97/519.97
  6. Step 6: Final answer
    x = 340.90

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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.