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Finding the Fourth Proportional to 516.97, 775.67 and 273.65

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Solution

The fourth proportional to 516.97, 775.67 and 273.65 is: 410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 775.67 = 273.65 : x
  2. Step 2: Convert to fraction form
    516.97/775.67 = 273.65/x
  3. Step 3: Cross multiply
    516.97x = 775.67 × 273.65
  4. Step 4: Simplify right side
    516.97x = 212,262.10
  5. Step 5: Solve for x
    x = 212,262.10/516.97
  6. Step 6: Final answer
    x = 410.59

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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.