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Finding the Fourth Proportional to 519.65, 779.61 and 195.11

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Solution

The fourth proportional to 519.65, 779.61 and 195.11 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.65 : 779.61 = 195.11 : x
  2. Step 2: Convert to fraction form
    519.65/779.61 = 195.11/x
  3. Step 3: Cross multiply
    519.65x = 779.61 × 195.11
  4. Step 4: Simplify right side
    519.65x = 152,105.81
  5. Step 5: Solve for x
    x = 152,105.81/519.65
  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.