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Finding the Fourth Proportional to 519.30, 778.34 and 226.71

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Solution

The fourth proportional to 519.30, 778.34 and 226.71 is: 339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 778.34 = 226.71 : x
  2. Step 2: Convert to fraction form
    519.30/778.34 = 226.71/x
  3. Step 3: Cross multiply
    519.30x = 778.34 × 226.71
  4. Step 4: Simplify right side
    519.30x = 176,458.03
  5. Step 5: Solve for x
    x = 176,458.03/519.30
  6. Step 6: Final answer
    x = 339.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.