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Finding the Fourth Proportional to 274.25, 411.80 and 261.05

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Solution

The fourth proportional to 274.25, 411.80 and 261.05 is: 391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.25 : 411.80 = 261.05 : x
  2. Step 2: Convert to fraction form
    274.25/411.80 = 261.05/x
  3. Step 3: Cross multiply
    274.25x = 411.80 × 261.05
  4. Step 4: Simplify right side
    274.25x = 107,497.03
  5. Step 5: Solve for x
    x = 107,497.03/274.25
  6. Step 6: Final answer
    x = 391.96

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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.