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Finding the Fourth Proportional to 519.82, 780.33 and 365.11

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Solution

The fourth proportional to 519.82, 780.33 and 365.11 is: 548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 780.33 = 365.11 : x
  2. Step 2: Convert to fraction form
    519.82/780.33 = 365.11/x
  3. Step 3: Cross multiply
    519.82x = 780.33 × 365.11
  4. Step 4: Simplify right side
    519.82x = 284,906.29
  5. Step 5: Solve for x
    x = 284,906.29/519.82
  6. Step 6: Final answer
    x = 548.09

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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.