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Finding the Fourth Proportional to 519.46, 779.33 and 275.92

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Solution

The fourth proportional to 519.46, 779.33 and 275.92 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 779.33 = 275.92 : x
  2. Step 2: Convert to fraction form
    519.46/779.33 = 275.92/x
  3. Step 3: Cross multiply
    519.46x = 779.33 × 275.92
  4. Step 4: Simplify right side
    519.46x = 215,032.73
  5. Step 5: Solve for x
    x = 215,032.73/519.46
  6. Step 6: Final answer
    x = 413.95

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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.