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Finding the Fourth Proportional to 519.90, 779.52 and 276.36

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Solution

The fourth proportional to 519.90, 779.52 and 276.36 is: 414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 779.52 = 276.36 : x
  2. Step 2: Convert to fraction form
    519.90/779.52 = 276.36/x
  3. Step 3: Cross multiply
    519.90x = 779.52 × 276.36
  4. Step 4: Simplify right side
    519.90x = 215,428.15
  5. Step 5: Solve for x
    x = 215,428.15/519.90
  6. Step 6: Final answer
    x = 414.36

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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.