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Finding the Fourth Proportional to 519.05, 777.92 and 226.37

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Solution

The fourth proportional to 519.05, 777.92 and 226.37 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 777.92 = 226.37 : x
  2. Step 2: Convert to fraction form
    519.05/777.92 = 226.37/x
  3. Step 3: Cross multiply
    519.05x = 777.92 × 226.37
  4. Step 4: Simplify right side
    519.05x = 176,092.73
  5. Step 5: Solve for x
    x = 176,092.73/519.05
  6. Step 6: Final answer
    x = 339.26

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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.