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Finding the Fourth Proportional to 519.54, 778.82 and 276.09

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Solution

The fourth proportional to 519.54, 778.82 and 276.09 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 778.82 = 276.09 : x
  2. Step 2: Convert to fraction form
    519.54/778.82 = 276.09/x
  3. Step 3: Cross multiply
    519.54x = 778.82 × 276.09
  4. Step 4: Simplify right side
    519.54x = 215,023.03
  5. Step 5: Solve for x
    x = 215,023.03/519.54
  6. Step 6: Final answer
    x = 413.87

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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.