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Finding the Fourth Proportional to 516.41, 774.77 and 191.80

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Solution

The fourth proportional to 516.41, 774.77 and 191.80 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.41 : 774.77 = 191.80 : x
  2. Step 2: Convert to fraction form
    516.41/774.77 = 191.80/x
  3. Step 3: Cross multiply
    516.41x = 774.77 × 191.80
  4. Step 4: Simplify right side
    516.41x = 148,600.90
  5. Step 5: Solve for x
    x = 148,600.90/516.41
  6. Step 6: Final answer
    x = 287.76

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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.