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Finding the Fourth Proportional to 399.12, 550.62 and 233.30

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Solution

The fourth proportional to 399.12, 550.62 and 233.30 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 550.62 = 233.30 : x
  2. Step 2: Convert to fraction form
    399.12/550.62 = 233.30/x
  3. Step 3: Cross multiply
    399.12x = 550.62 × 233.30
  4. Step 4: Simplify right side
    399.12x = 128,459.65
  5. Step 5: Solve for x
    x = 128,459.65/399.12
  6. Step 6: Final answer
    x = 321.86

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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.