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Finding the Fourth Proportional to 337.33, 462.61 and 323.30

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Solution

The fourth proportional to 337.33, 462.61 and 323.30 is: 443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.33 : 462.61 = 323.30 : x
  2. Step 2: Convert to fraction form
    337.33/462.61 = 323.30/x
  3. Step 3: Cross multiply
    337.33x = 462.61 × 323.30
  4. Step 4: Simplify right side
    337.33x = 149,560.77
  5. Step 5: Solve for x
    x = 149,560.77/337.33
  6. Step 6: Final answer
    x = 443.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.