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Finding the Fourth Proportional to 281.44, 422.22 and 277.90

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Solution

The fourth proportional to 281.44, 422.22 and 277.90 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 422.22 = 277.90 : x
  2. Step 2: Convert to fraction form
    281.44/422.22 = 277.90/x
  3. Step 3: Cross multiply
    281.44x = 422.22 × 277.90
  4. Step 4: Simplify right side
    281.44x = 117,334.94
  5. Step 5: Solve for x
    x = 117,334.94/281.44
  6. Step 6: Final answer
    x = 416.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.