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Finding the Fourth Proportional to 399.52, 550.14 and 350.12

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Solution

The fourth proportional to 399.52, 550.14 and 350.12 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.52 : 550.14 = 350.12 : x
  2. Step 2: Convert to fraction form
    399.52/550.14 = 350.12/x
  3. Step 3: Cross multiply
    399.52x = 550.14 × 350.12
  4. Step 4: Simplify right side
    399.52x = 192,615.02
  5. Step 5: Solve for x
    x = 192,615.02/399.52
  6. Step 6: Final answer
    x = 482.12

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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.