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Finding the Fourth Proportional to 399.14, 550.76 and 233.24

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Solution

The fourth proportional to 399.14, 550.76 and 233.24 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.14 : 550.76 = 233.24 : x
  2. Step 2: Convert to fraction form
    399.14/550.76 = 233.24/x
  3. Step 3: Cross multiply
    399.14x = 550.76 × 233.24
  4. Step 4: Simplify right side
    399.14x = 128,456.51
  5. Step 5: Solve for x
    x = 128,456.51/399.14
  6. Step 6: Final answer
    x = 321.83

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Why These Related Problems?

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