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Finding the Fourth Proportional to 939.52, 1,408.92 and 323.11

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Solution

The fourth proportional to 939.52, 1,408.92 and 323.11 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.52 : 1,408.92 = 323.11 : x
  2. Step 2: Convert to fraction form
    939.52/1,408.92 = 323.11/x
  3. Step 3: Cross multiply
    939.52x = 1,408.92 × 323.11
  4. Step 4: Simplify right side
    939.52x = 455,236.14
  5. Step 5: Solve for x
    x = 455,236.14/939.52
  6. Step 6: Final answer
    x = 484.54

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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.