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Finding the Fourth Proportional to 516.60, 775.04 and 269.82

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Solution

The fourth proportional to 516.60, 775.04 and 269.82 is: 404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 775.04 = 269.82 : x
  2. Step 2: Convert to fraction form
    516.60/775.04 = 269.82/x
  3. Step 3: Cross multiply
    516.60x = 775.04 × 269.82
  4. Step 4: Simplify right side
    516.60x = 209,119.94
  5. Step 5: Solve for x
    x = 209,119.94/516.60
  6. Step 6: Final answer
    x = 404.80

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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.