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Finding the Fourth Proportional to 519.50, 778.77 and 272.65

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Solution

The fourth proportional to 519.50, 778.77 and 272.65 is: 408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 778.77 = 272.65 : x
  2. Step 2: Convert to fraction form
    519.50/778.77 = 272.65/x
  3. Step 3: Cross multiply
    519.50x = 778.77 × 272.65
  4. Step 4: Simplify right side
    519.50x = 212,334.07
  5. Step 5: Solve for x
    x = 212,334.07/519.50
  6. Step 6: Final answer
    x = 408.73

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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.