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Finding the Fourth Proportional to 519.87, 778.14 and 442.29

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Solution

The fourth proportional to 519.87, 778.14 and 442.29 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.87 : 778.14 = 442.29 : x
  2. Step 2: Convert to fraction form
    519.87/778.14 = 442.29/x
  3. Step 3: Cross multiply
    519.87x = 778.14 × 442.29
  4. Step 4: Simplify right side
    519.87x = 344,163.54
  5. Step 5: Solve for x
    x = 344,163.54/519.87
  6. Step 6: Final answer
    x = 662.02

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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.