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Finding the Fourth Proportional to 337.52, 462.87 and 323.48

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Solution

The fourth proportional to 337.52, 462.87 and 323.48 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.52 : 462.87 = 323.48 : x
  2. Step 2: Convert to fraction form
    337.52/462.87 = 323.48/x
  3. Step 3: Cross multiply
    337.52x = 462.87 × 323.48
  4. Step 4: Simplify right side
    337.52x = 149,730.34
  5. Step 5: Solve for x
    x = 149,730.34/337.52
  6. Step 6: Final answer
    x = 443.63

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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.