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Finding the Fourth Proportional to 337.39, 464.13 and 324.07

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Solution

The fourth proportional to 337.39, 464.13 and 324.07 is: 445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.39 : 464.13 = 324.07 : x
  2. Step 2: Convert to fraction form
    337.39/464.13 = 324.07/x
  3. Step 3: Cross multiply
    337.39x = 464.13 × 324.07
  4. Step 4: Simplify right side
    337.39x = 150,410.61
  5. Step 5: Solve for x
    x = 150,410.61/337.39
  6. Step 6: Final answer
    x = 445.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.