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Finding the Fourth Proportional to 274.09, 380.91 and 271.26

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Solution

The fourth proportional to 274.09, 380.91 and 271.26 is: 376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.09 : 380.91 = 271.26 : x
  2. Step 2: Convert to fraction form
    274.09/380.91 = 271.26/x
  3. Step 3: Cross multiply
    274.09x = 380.91 × 271.26
  4. Step 4: Simplify right side
    274.09x = 103,325.65
  5. Step 5: Solve for x
    x = 103,325.65/274.09
  6. Step 6: Final answer
    x = 376.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.