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Finding the Fourth Proportional to 892.32, 1,338.63 and 344.45

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Solution

The fourth proportional to 892.32, 1,338.63 and 344.45 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,338.63 = 344.45 : x
  2. Step 2: Convert to fraction form
    892.32/1,338.63 = 344.45/x
  3. Step 3: Cross multiply
    892.32x = 1,338.63 × 344.45
  4. Step 4: Simplify right side
    892.32x = 461,093.16
  5. Step 5: Solve for x
    x = 461,093.16/892.32
  6. Step 6: Final answer
    x = 516.74

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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.