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Finding the Fourth Proportional to 519.44, 778.29 and 365.09

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Solution

The fourth proportional to 519.44, 778.29 and 365.09 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 778.29 = 365.09 : x
  2. Step 2: Convert to fraction form
    519.44/778.29 = 365.09/x
  3. Step 3: Cross multiply
    519.44x = 778.29 × 365.09
  4. Step 4: Simplify right side
    519.44x = 284,146.35
  5. Step 5: Solve for x
    x = 284,146.35/519.44
  6. Step 6: Final answer
    x = 547.02

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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.