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Finding the Fourth Proportional to 516.39, 773.91 and 443.49

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Solution

The fourth proportional to 516.39, 773.91 and 443.49 is: 664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.39 : 773.91 = 443.49 : x
  2. Step 2: Convert to fraction form
    516.39/773.91 = 443.49/x
  3. Step 3: Cross multiply
    516.39x = 773.91 × 443.49
  4. Step 4: Simplify right side
    516.39x = 343,221.35
  5. Step 5: Solve for x
    x = 343,221.35/516.39
  6. Step 6: Final answer
    x = 664.66

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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.