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Finding the Fourth Proportional to 337.97, 465.85 and 227.41

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Solution

The fourth proportional to 337.97, 465.85 and 227.41 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 465.85 = 227.41 : x
  2. Step 2: Convert to fraction form
    337.97/465.85 = 227.41/x
  3. Step 3: Cross multiply
    337.97x = 465.85 × 227.41
  4. Step 4: Simplify right side
    337.97x = 105,938.07
  5. Step 5: Solve for x
    x = 105,938.07/337.97
  6. Step 6: Final answer
    x = 313.45

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