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Finding the Fourth Proportional to 323.45, 484.22 and 213.56

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Solution

The fourth proportional to 323.45, 484.22 and 213.56 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.45 : 484.22 = 213.56 : x
  2. Step 2: Convert to fraction form
    323.45/484.22 = 213.56/x
  3. Step 3: Cross multiply
    323.45x = 484.22 × 213.56
  4. Step 4: Simplify right side
    323.45x = 103,410.02
  5. Step 5: Solve for x
    x = 103,410.02/323.45
  6. Step 6: Final answer
    x = 319.71

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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.