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Finding the Fourth Proportional to 552.54, 827.73 and 423.66

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Solution

The fourth proportional to 552.54, 827.73 and 423.66 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.54 : 827.73 = 423.66 : x
  2. Step 2: Convert to fraction form
    552.54/827.73 = 423.66/x
  3. Step 3: Cross multiply
    552.54x = 827.73 × 423.66
  4. Step 4: Simplify right side
    552.54x = 350,676.09
  5. Step 5: Solve for x
    x = 350,676.09/552.54
  6. Step 6: Final answer
    x = 634.66

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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.