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Finding the Fourth Proportional to 273.68, 410.53 and 212.62

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Solution

The fourth proportional to 273.68, 410.53 and 212.62 is: 318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 410.53 = 212.62 : x
  2. Step 2: Convert to fraction form
    273.68/410.53 = 212.62/x
  3. Step 3: Cross multiply
    273.68x = 410.53 × 212.62
  4. Step 4: Simplify right side
    273.68x = 87,286.89
  5. Step 5: Solve for x
    x = 87,286.89/273.68
  6. Step 6: Final answer
    x = 318.94

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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.