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Finding the Fourth Proportional to 552.44, 825.01 and 443.88

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Solution

The fourth proportional to 552.44, 825.01 and 443.88 is: 662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 825.01 = 443.88 : x
  2. Step 2: Convert to fraction form
    552.44/825.01 = 443.88/x
  3. Step 3: Cross multiply
    552.44x = 825.01 × 443.88
  4. Step 4: Simplify right side
    552.44x = 366,205.44
  5. Step 5: Solve for x
    x = 366,205.44/552.44
  6. Step 6: Final answer
    x = 662.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.