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Finding the Fourth Proportional to 552.16, 827.70 and 227.76

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Solution

The fourth proportional to 552.16, 827.70 and 227.76 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 827.70 = 227.76 : x
  2. Step 2: Convert to fraction form
    552.16/827.70 = 227.76/x
  3. Step 3: Cross multiply
    552.16x = 827.70 × 227.76
  4. Step 4: Simplify right side
    552.16x = 188,516.95
  5. Step 5: Solve for x
    x = 188,516.95/552.16
  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.