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Finding the Fourth Proportional to 519.87, 780.03 and 276.11

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Solution

The fourth proportional to 519.87, 780.03 and 276.11 is: 414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.87 : 780.03 = 276.11 : x
  2. Step 2: Convert to fraction form
    519.87/780.03 = 276.11/x
  3. Step 3: Cross multiply
    519.87x = 780.03 × 276.11
  4. Step 4: Simplify right side
    519.87x = 215,373.11
  5. Step 5: Solve for x
    x = 215,373.11/519.87
  6. Step 6: Final answer
    x = 414.28

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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.