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Finding the Fourth Proportional to 274.08, 411.05 and 79.10

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Solution

The fourth proportional to 274.08, 411.05 and 79.10 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 411.05 = 79.10 : x
  2. Step 2: Convert to fraction form
    274.08/411.05 = 79.10/x
  3. Step 3: Cross multiply
    274.08x = 411.05 × 79.10
  4. Step 4: Simplify right side
    274.08x = 32,514.67
  5. Step 5: Solve for x
    x = 32,514.67/274.08
  6. Step 6: Final answer
    x = 118.63

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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.