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Finding the Fourth Proportional to 892.26, 1,338.10 and 344.64

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Solution

The fourth proportional to 892.26, 1,338.10 and 344.64 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.26 : 1,338.10 = 344.64 : x
  2. Step 2: Convert to fraction form
    892.26/1,338.10 = 344.64/x
  3. Step 3: Cross multiply
    892.26x = 1,338.10 × 344.64
  4. Step 4: Simplify right side
    892.26x = 461,162.78
  5. Step 5: Solve for x
    x = 461,162.78/892.26
  6. Step 6: Final answer
    x = 516.85

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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.