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Finding the Fourth Proportional to 399.11, 550.97 and 259.43

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Solution

The fourth proportional to 399.11, 550.97 and 259.43 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.11 : 550.97 = 259.43 : x
  2. Step 2: Convert to fraction form
    399.11/550.97 = 259.43/x
  3. Step 3: Cross multiply
    399.11x = 550.97 × 259.43
  4. Step 4: Simplify right side
    399.11x = 142,938.15
  5. Step 5: Solve for x
    x = 142,938.15/399.11
  6. Step 6: Final answer
    x = 358.14

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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.