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Finding the Fourth Proportional to 519.62, 778.82 and 275.70

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Solution

The fourth proportional to 519.62, 778.82 and 275.70 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 778.82 = 275.70 : x
  2. Step 2: Convert to fraction form
    519.62/778.82 = 275.70/x
  3. Step 3: Cross multiply
    519.62x = 778.82 × 275.70
  4. Step 4: Simplify right side
    519.62x = 214,722.22
  5. Step 5: Solve for x
    x = 214,722.22/519.62
  6. Step 6: Final answer
    x = 413.23

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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.