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Finding the Fourth Proportional to 337.42, 462.26 and 325.12

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Solution

The fourth proportional to 337.42, 462.26 and 325.12 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.42 : 462.26 = 325.12 : x
  2. Step 2: Convert to fraction form
    337.42/462.26 = 325.12/x
  3. Step 3: Cross multiply
    337.42x = 462.26 × 325.12
  4. Step 4: Simplify right side
    337.42x = 150,289.97
  5. Step 5: Solve for x
    x = 150,289.97/337.42
  6. Step 6: Final answer
    x = 445.41

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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.