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Finding the Fourth Proportional to 550.34, 825.31 and 203.60

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Solution

The fourth proportional to 550.34, 825.31 and 203.60 is: 305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.34 : 825.31 = 203.60 : x
  2. Step 2: Convert to fraction form
    550.34/825.31 = 203.60/x
  3. Step 3: Cross multiply
    550.34x = 825.31 × 203.60
  4. Step 4: Simplify right side
    550.34x = 168,035.43
  5. Step 5: Solve for x
    x = 168,035.43/550.34
  6. Step 6: Final answer
    x = 305.33

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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.