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Finding the Fourth Proportional to 552.12, 827.88 and 227.34

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Solution

The fourth proportional to 552.12, 827.88 and 227.34 is: 340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.12 : 827.88 = 227.34 : x
  2. Step 2: Convert to fraction form
    552.12/827.88 = 227.34/x
  3. Step 3: Cross multiply
    552.12x = 827.88 × 227.34
  4. Step 4: Simplify right side
    552.12x = 188,210.24
  5. Step 5: Solve for x
    x = 188,210.24/552.12
  6. Step 6: Final answer
    x = 340.89

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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.