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Finding the Fourth Proportional to 550.44, 825.62 and 396.64

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Solution

The fourth proportional to 550.44, 825.62 and 396.64 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.44 : 825.62 = 396.64 : x
  2. Step 2: Convert to fraction form
    550.44/825.62 = 396.64/x
  3. Step 3: Cross multiply
    550.44x = 825.62 × 396.64
  4. Step 4: Simplify right side
    550.44x = 327,467.81
  5. Step 5: Solve for x
    x = 327,467.81/550.44
  6. Step 6: Final answer
    x = 594.93

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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.