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Finding the Fourth Proportional to 519.72, 778.97 and 324.20

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Solution

The fourth proportional to 519.72, 778.97 and 324.20 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 778.97 = 324.20 : x
  2. Step 2: Convert to fraction form
    519.72/778.97 = 324.20/x
  3. Step 3: Cross multiply
    519.72x = 778.97 × 324.20
  4. Step 4: Simplify right side
    519.72x = 252,543.01
  5. Step 5: Solve for x
    x = 252,543.01/519.72
  6. Step 6: Final answer
    x = 485.92

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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.