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Finding the Fourth Proportional to 398.91, 550.27 and 233.09

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Solution

The fourth proportional to 398.91, 550.27 and 233.09 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.91 : 550.27 = 233.09 : x
  2. Step 2: Convert to fraction form
    398.91/550.27 = 233.09/x
  3. Step 3: Cross multiply
    398.91x = 550.27 × 233.09
  4. Step 4: Simplify right side
    398.91x = 128,259.83
  5. Step 5: Solve for x
    x = 128,259.83/398.91
  6. Step 6: Final answer
    x = 321.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.