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Finding the Fourth Proportional to 550.39, 825.38 and 242.09

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Solution

The fourth proportional to 550.39, 825.38 and 242.09 is: 363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 825.38 = 242.09 : x
  2. Step 2: Convert to fraction form
    550.39/825.38 = 242.09/x
  3. Step 3: Cross multiply
    550.39x = 825.38 × 242.09
  4. Step 4: Simplify right side
    550.39x = 199,816.24
  5. Step 5: Solve for x
    x = 199,816.24/550.39
  6. Step 6: Final answer
    x = 363.04

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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.