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Finding the Fourth Proportional to 552.23, 827.82 and 205.47

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Solution

The fourth proportional to 552.23, 827.82 and 205.47 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.23 : 827.82 = 205.47 : x
  2. Step 2: Convert to fraction form
    552.23/827.82 = 205.47/x
  3. Step 3: Cross multiply
    552.23x = 827.82 × 205.47
  4. Step 4: Simplify right side
    552.23x = 170,092.18
  5. Step 5: Solve for x
    x = 170,092.18/552.23
  6. Step 6: Final answer
    x = 308.01

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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.