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Finding the Fourth Proportional to 306.45, 422.56 and 276.94

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Solution

The fourth proportional to 306.45, 422.56 and 276.94 is: 381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 422.56 = 276.94 : x
  2. Step 2: Convert to fraction form
    306.45/422.56 = 276.94/x
  3. Step 3: Cross multiply
    306.45x = 422.56 × 276.94
  4. Step 4: Simplify right side
    306.45x = 117,020.27
  5. Step 5: Solve for x
    x = 117,020.27/306.45
  6. Step 6: Final answer
    x = 381.86

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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.