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Finding the Fourth Proportional to 519.87, 779.52 and 276.33

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Solution

The fourth proportional to 519.87, 779.52 and 276.33 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.87 : 779.52 = 276.33 : x
  2. Step 2: Convert to fraction form
    519.87/779.52 = 276.33/x
  3. Step 3: Cross multiply
    519.87x = 779.52 × 276.33
  4. Step 4: Simplify right side
    519.87x = 215,404.76
  5. Step 5: Solve for x
    x = 215,404.76/519.87
  6. Step 6: Final answer
    x = 414.34

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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.