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Finding the Fourth Proportional to 323.44, 484.40 and 274.56

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Solution

The fourth proportional to 323.44, 484.40 and 274.56 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.44 : 484.40 = 274.56 : x
  2. Step 2: Convert to fraction form
    323.44/484.40 = 274.56/x
  3. Step 3: Cross multiply
    323.44x = 484.40 × 274.56
  4. Step 4: Simplify right side
    323.44x = 132,996.86
  5. Step 5: Solve for x
    x = 132,996.86/323.44
  6. Step 6: Final answer
    x = 411.19

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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.