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Finding the Fourth Proportional to 516.26, 773.82 and 208.10

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Solution

The fourth proportional to 516.26, 773.82 and 208.10 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 773.82 = 208.10 : x
  2. Step 2: Convert to fraction form
    516.26/773.82 = 208.10/x
  3. Step 3: Cross multiply
    516.26x = 773.82 × 208.10
  4. Step 4: Simplify right side
    516.26x = 161,031.94
  5. Step 5: Solve for x
    x = 161,031.94/516.26
  6. Step 6: Final answer
    x = 311.92

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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.