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Finding the Fourth Proportional to 519.82, 778.91 and 363.49

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Solution

The fourth proportional to 519.82, 778.91 and 363.49 is: 544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 778.91 = 363.49 : x
  2. Step 2: Convert to fraction form
    519.82/778.91 = 363.49/x
  3. Step 3: Cross multiply
    519.82x = 778.91 × 363.49
  4. Step 4: Simplify right side
    519.82x = 283,126.00
  5. Step 5: Solve for x
    x = 283,126.00/519.82
  6. Step 6: Final answer
    x = 544.66

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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.