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Finding the Fourth Proportional to 519.86, 779.80 and 195.14

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Solution

The fourth proportional to 519.86, 779.80 and 195.14 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 779.80 = 195.14 : x
  2. Step 2: Convert to fraction form
    519.86/779.80 = 195.14/x
  3. Step 3: Cross multiply
    519.86x = 779.80 × 195.14
  4. Step 4: Simplify right side
    519.86x = 152,170.17
  5. Step 5: Solve for x
    x = 152,170.17/519.86
  6. Step 6: Final answer
    x = 292.71

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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.