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Finding the Fourth Proportional to 399.08, 550.80 and 233.30

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Solution

The fourth proportional to 399.08, 550.80 and 233.30 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.08 : 550.80 = 233.30 : x
  2. Step 2: Convert to fraction form
    399.08/550.80 = 233.30/x
  3. Step 3: Cross multiply
    399.08x = 550.80 × 233.30
  4. Step 4: Simplify right side
    399.08x = 128,501.64
  5. Step 5: Solve for x
    x = 128,501.64/399.08
  6. Step 6: Final answer
    x = 321.99

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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.