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Finding the Fourth Proportional to 552.42, 827.96 and 244.08

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Solution

The fourth proportional to 552.42, 827.96 and 244.08 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 827.96 = 244.08 : x
  2. Step 2: Convert to fraction form
    552.42/827.96 = 244.08/x
  3. Step 3: Cross multiply
    552.42x = 827.96 × 244.08
  4. Step 4: Simplify right side
    552.42x = 202,087.26
  5. Step 5: Solve for x
    x = 202,087.26/552.42
  6. Step 6: Final answer
    x = 365.82

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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.