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Finding the Fourth Proportional to 519.20, 778.38 and 211.13

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Solution

The fourth proportional to 519.20, 778.38 and 211.13 is: 316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.20 : 778.38 = 211.13 : x
  2. Step 2: Convert to fraction form
    519.20/778.38 = 211.13/x
  3. Step 3: Cross multiply
    519.20x = 778.38 × 211.13
  4. Step 4: Simplify right side
    519.20x = 164,335.48
  5. Step 5: Solve for x
    x = 164,335.48/519.20
  6. Step 6: Final answer
    x = 316.52

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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.