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Finding the Fourth Proportional to 516.18, 772.42 and 378.89

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Solution

The fourth proportional to 516.18, 772.42 and 378.89 is: 566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.18 : 772.42 = 378.89 : x
  2. Step 2: Convert to fraction form
    516.18/772.42 = 378.89/x
  3. Step 3: Cross multiply
    516.18x = 772.42 × 378.89
  4. Step 4: Simplify right side
    516.18x = 292,661.01
  5. Step 5: Solve for x
    x = 292,661.01/516.18
  6. Step 6: Final answer
    x = 566.97

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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.