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Finding the Fourth Proportional to 518.80, 778.43 and 194.19

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Solution

The fourth proportional to 518.80, 778.43 and 194.19 is: 291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.80 : 778.43 = 194.19 : x
  2. Step 2: Convert to fraction form
    518.80/778.43 = 194.19/x
  3. Step 3: Cross multiply
    518.80x = 778.43 × 194.19
  4. Step 4: Simplify right side
    518.80x = 151,163.81
  5. Step 5: Solve for x
    x = 151,163.81/518.80
  6. Step 6: Final answer
    x = 291.37

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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.