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Finding the Fourth Proportional to 519.01, 778.41 and 226.60

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Solution

The fourth proportional to 519.01, 778.41 and 226.60 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.01 : 778.41 = 226.60 : x
  2. Step 2: Convert to fraction form
    519.01/778.41 = 226.60/x
  3. Step 3: Cross multiply
    519.01x = 778.41 × 226.60
  4. Step 4: Simplify right side
    519.01x = 176,385.76
  5. Step 5: Solve for x
    x = 176,385.76/519.01
  6. Step 6: Final answer
    x = 339.85

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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.