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Finding the Fourth Proportional to 516.14, 772.74 and 467.48

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Solution

The fourth proportional to 516.14, 772.74 and 467.48 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 772.74 = 467.48 : x
  2. Step 2: Convert to fraction form
    516.14/772.74 = 467.48/x
  3. Step 3: Cross multiply
    516.14x = 772.74 × 467.48
  4. Step 4: Simplify right side
    516.14x = 361,238.38
  5. Step 5: Solve for x
    x = 361,238.38/516.14
  6. Step 6: Final answer
    x = 699.89

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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.