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Finding the Fourth Proportional to 306.11, 422.51 and 274.97

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Solution

The fourth proportional to 306.11, 422.51 and 274.97 is: 379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 422.51 = 274.97 : x
  2. Step 2: Convert to fraction form
    306.11/422.51 = 274.97/x
  3. Step 3: Cross multiply
    306.11x = 422.51 × 274.97
  4. Step 4: Simplify right side
    306.11x = 116,177.26
  5. Step 5: Solve for x
    x = 116,177.26/306.11
  6. Step 6: Final answer
    x = 379.52

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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.