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Finding the Fourth Proportional to 519.32, 779.09 and 194.92

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Solution

The fourth proportional to 519.32, 779.09 and 194.92 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 779.09 = 194.92 : x
  2. Step 2: Convert to fraction form
    519.32/779.09 = 194.92/x
  3. Step 3: Cross multiply
    519.32x = 779.09 × 194.92
  4. Step 4: Simplify right side
    519.32x = 151,857.30
  5. Step 5: Solve for x
    x = 151,857.30/519.32
  6. Step 6: Final answer
    x = 292.41

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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.