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Finding the Fourth Proportional to 552.13, 827.48 and 227.74

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Solution

The fourth proportional to 552.13, 827.48 and 227.74 is: 341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.13 : 827.48 = 227.74 : x
  2. Step 2: Convert to fraction form
    552.13/827.48 = 227.74/x
  3. Step 3: Cross multiply
    552.13x = 827.48 × 227.74
  4. Step 4: Simplify right side
    552.13x = 188,449.16
  5. Step 5: Solve for x
    x = 188,449.16/552.13
  6. Step 6: Final answer
    x = 341.31

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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.