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Finding the Fourth Proportional to 552.17, 827.64 and 227.22

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Solution

The fourth proportional to 552.17, 827.64 and 227.22 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.17 : 827.64 = 227.22 : x
  2. Step 2: Convert to fraction form
    552.17/827.64 = 227.22/x
  3. Step 3: Cross multiply
    552.17x = 827.64 × 227.22
  4. Step 4: Simplify right side
    552.17x = 188,056.36
  5. Step 5: Solve for x
    x = 188,056.36/552.17
  6. Step 6: Final answer
    x = 340.58

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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.