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Finding the Fourth Proportional to 519.32, 778.74 and 275.78

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Solution

The fourth proportional to 519.32, 778.74 and 275.78 is: 413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 778.74 = 275.78 : x
  2. Step 2: Convert to fraction form
    519.32/778.74 = 275.78/x
  3. Step 3: Cross multiply
    519.32x = 778.74 × 275.78
  4. Step 4: Simplify right side
    519.32x = 214,762.86
  5. Step 5: Solve for x
    x = 214,762.86/519.32
  6. Step 6: Final answer
    x = 413.55

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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.