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Finding the Fourth Proportional to 519.91, 779.97 and 195.28

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Solution

The fourth proportional to 519.91, 779.97 and 195.28 is: 292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.91 : 779.97 = 195.28 : x
  2. Step 2: Convert to fraction form
    519.91/779.97 = 195.28/x
  3. Step 3: Cross multiply
    519.91x = 779.97 × 195.28
  4. Step 4: Simplify right side
    519.91x = 152,312.54
  5. Step 5: Solve for x
    x = 152,312.54/519.91
  6. Step 6: Final answer
    x = 292.96

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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.