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Finding the Fourth Proportional to 274.35, 411.45 and 79.31

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Solution

The fourth proportional to 274.35, 411.45 and 79.31 is: 118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 411.45 = 79.31 : x
  2. Step 2: Convert to fraction form
    274.35/411.45 = 79.31/x
  3. Step 3: Cross multiply
    274.35x = 411.45 × 79.31
  4. Step 4: Simplify right side
    274.35x = 32,630.04
  5. Step 5: Solve for x
    x = 32,630.04/274.35
  6. Step 6: Final answer
    x = 118.94

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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.