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Finding the Fourth Proportional to 552.25, 828.37 and 227.62

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Solution

The fourth proportional to 552.25, 828.37 and 227.62 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 828.37 = 227.62 : x
  2. Step 2: Convert to fraction form
    552.25/828.37 = 227.62/x
  3. Step 3: Cross multiply
    552.25x = 828.37 × 227.62
  4. Step 4: Simplify right side
    552.25x = 188,549.44
  5. Step 5: Solve for x
    x = 188,549.44/552.25
  6. Step 6: Final answer
    x = 341.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.