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Finding the Fourth Proportional to 892.57, 1,338.64 and 344.47

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Solution

The fourth proportional to 892.57, 1,338.64 and 344.47 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.57 : 1,338.64 = 344.47 : x
  2. Step 2: Convert to fraction form
    892.57/1,338.64 = 344.47/x
  3. Step 3: Cross multiply
    892.57x = 1,338.64 × 344.47
  4. Step 4: Simplify right side
    892.57x = 461,121.32
  5. Step 5: Solve for x
    x = 461,121.32/892.57
  6. Step 6: Final answer
    x = 516.62

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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.