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Finding the Fourth Proportional to 519.75, 779.94 and 276.44

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Solution

The fourth proportional to 519.75, 779.94 and 276.44 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 779.94 = 276.44 : x
  2. Step 2: Convert to fraction form
    519.75/779.94 = 276.44/x
  3. Step 3: Cross multiply
    519.75x = 779.94 × 276.44
  4. Step 4: Simplify right side
    519.75x = 215,602.71
  5. Step 5: Solve for x
    x = 215,602.71/519.75
  6. Step 6: Final answer
    x = 414.82

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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.