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Finding the Fourth Proportional to 550.08, 825.44 and 548.16

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Solution

The fourth proportional to 550.08, 825.44 and 548.16 is: 822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.08 : 825.44 = 548.16 : x
  2. Step 2: Convert to fraction form
    550.08/825.44 = 548.16/x
  3. Step 3: Cross multiply
    550.08x = 825.44 × 548.16
  4. Step 4: Simplify right side
    550.08x = 452,473.19
  5. Step 5: Solve for x
    x = 452,473.19/550.08
  6. Step 6: Final answer
    x = 822.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.