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Finding the Fourth Proportional to 550.60, 825.34 and 203.71

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Solution

The fourth proportional to 550.60, 825.34 and 203.71 is: 305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.60 : 825.34 = 203.71 : x
  2. Step 2: Convert to fraction form
    550.60/825.34 = 203.71/x
  3. Step 3: Cross multiply
    550.60x = 825.34 × 203.71
  4. Step 4: Simplify right side
    550.60x = 168,130.01
  5. Step 5: Solve for x
    x = 168,130.01/550.60
  6. Step 6: Final answer
    x = 305.36

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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.