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Finding the Fourth Proportional to 552.07, 828.09 and 227.21

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Solution

The fourth proportional to 552.07, 828.09 and 227.21 is: 340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.07 : 828.09 = 227.21 : x
  2. Step 2: Convert to fraction form
    552.07/828.09 = 227.21/x
  3. Step 3: Cross multiply
    552.07x = 828.09 × 227.21
  4. Step 4: Simplify right side
    552.07x = 188,150.33
  5. Step 5: Solve for x
    x = 188,150.33/552.07
  6. Step 6: Final answer
    x = 340.81

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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.