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Finding the Fourth Proportional to 274.74, 412.46 and 273.66

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Solution

The fourth proportional to 274.74, 412.46 and 273.66 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.74 : 412.46 = 273.66 : x
  2. Step 2: Convert to fraction form
    274.74/412.46 = 273.66/x
  3. Step 3: Cross multiply
    274.74x = 412.46 × 273.66
  4. Step 4: Simplify right side
    274.74x = 112,873.80
  5. Step 5: Solve for x
    x = 112,873.80/274.74
  6. Step 6: Final answer
    x = 410.84

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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.