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Finding the Fourth Proportional to 516.56, 774.82 and 191.84

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Solution

The fourth proportional to 516.56, 774.82 and 191.84 is: 287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 774.82 = 191.84 : x
  2. Step 2: Convert to fraction form
    516.56/774.82 = 191.84/x
  3. Step 3: Cross multiply
    516.56x = 774.82 × 191.84
  4. Step 4: Simplify right side
    516.56x = 148,641.47
  5. Step 5: Solve for x
    x = 148,641.47/516.56
  6. Step 6: Final answer
    x = 287.75

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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.