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Finding the Fourth Proportional to 519.85, 778.98 and 396.27

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Solution

The fourth proportional to 519.85, 778.98 and 396.27 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 778.98 = 396.27 : x
  2. Step 2: Convert to fraction form
    519.85/778.98 = 396.27/x
  3. Step 3: Cross multiply
    519.85x = 778.98 × 396.27
  4. Step 4: Simplify right side
    519.85x = 308,687.89
  5. Step 5: Solve for x
    x = 308,687.89/519.85
  6. Step 6: Final answer
    x = 593.80

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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.