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Finding the Fourth Proportional to 337.40, 462.57 and 331.23

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Solution

The fourth proportional to 337.40, 462.57 and 331.23 is: 454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.40 : 462.57 = 331.23 : x
  2. Step 2: Convert to fraction form
    337.40/462.57 = 331.23/x
  3. Step 3: Cross multiply
    337.40x = 462.57 × 331.23
  4. Step 4: Simplify right side
    337.40x = 153,217.06
  5. Step 5: Solve for x
    x = 153,217.06/337.40
  6. Step 6: Final answer
    x = 454.12

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