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Finding the Fourth Proportional to 516.62, 773.13 and 486.64

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Solution

The fourth proportional to 516.62, 773.13 and 486.64 is: 728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 773.13 = 486.64 : x
  2. Step 2: Convert to fraction form
    516.62/773.13 = 486.64/x
  3. Step 3: Cross multiply
    516.62x = 773.13 × 486.64
  4. Step 4: Simplify right side
    516.62x = 376,236.04
  5. Step 5: Solve for x
    x = 376,236.04/516.62
  6. Step 6: Final answer
    x = 728.26

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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.