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Finding the Fourth Proportional to 564.22, 844.89 and 516.70

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Solution

The fourth proportional to 564.22, 844.89 and 516.70 is: 773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.22 : 844.89 = 516.70 : x
  2. Step 2: Convert to fraction form
    564.22/844.89 = 516.70/x
  3. Step 3: Cross multiply
    564.22x = 844.89 × 516.70
  4. Step 4: Simplify right side
    564.22x = 436,554.66
  5. Step 5: Solve for x
    x = 436,554.66/564.22
  6. Step 6: Final answer
    x = 773.73

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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.