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Finding the Fourth Proportional to 892.34, 1,338.16 and 344.22

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Solution

The fourth proportional to 892.34, 1,338.16 and 344.22 is: 516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.34 : 1,338.16 = 344.22 : x
  2. Step 2: Convert to fraction form
    892.34/1,338.16 = 344.22/x
  3. Step 3: Cross multiply
    892.34x = 1,338.16 × 344.22
  4. Step 4: Simplify right side
    892.34x = 460,621.44
  5. Step 5: Solve for x
    x = 460,621.44/892.34
  6. Step 6: Final answer
    x = 516.19

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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.