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Finding the Fourth Proportional to 516.23, 774.65 and 191.82

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Solution

The fourth proportional to 516.23, 774.65 and 191.82 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 774.65 = 191.82 : x
  2. Step 2: Convert to fraction form
    516.23/774.65 = 191.82/x
  3. Step 3: Cross multiply
    516.23x = 774.65 × 191.82
  4. Step 4: Simplify right side
    516.23x = 148,596.75
  5. Step 5: Solve for x
    x = 148,596.75/516.23
  6. Step 6: Final answer
    x = 287.85

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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.