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Finding the Fourth Proportional to 519.05, 778.71 and 226.49

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Solution

The fourth proportional to 519.05, 778.71 and 226.49 is: 339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.71 = 226.49 : x
  2. Step 2: Convert to fraction form
    519.05/778.71 = 226.49/x
  3. Step 3: Cross multiply
    519.05x = 778.71 × 226.49
  4. Step 4: Simplify right side
    519.05x = 176,371.28
  5. Step 5: Solve for x
    x = 176,371.28/519.05
  6. Step 6: Final answer
    x = 339.80

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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.