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Finding the Fourth Proportional to 276.12, 411.75 and 273.65

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Solution

The fourth proportional to 276.12, 411.75 and 273.65 is: 408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 411.75 = 273.65 : x
  2. Step 2: Convert to fraction form
    276.12/411.75 = 273.65/x
  3. Step 3: Cross multiply
    276.12x = 411.75 × 273.65
  4. Step 4: Simplify right side
    276.12x = 112,673.33
  5. Step 5: Solve for x
    x = 112,673.33/276.12
  6. Step 6: Final answer
    x = 408.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.