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Finding the Fourth Proportional to 338.88, 467.99 and 234.24

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Solution

The fourth proportional to 338.88, 467.99 and 234.24 is: 323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 467.99 = 234.24 : x
  2. Step 2: Convert to fraction form
    338.88/467.99 = 234.24/x
  3. Step 3: Cross multiply
    338.88x = 467.99 × 234.24
  4. Step 4: Simplify right side
    338.88x = 109,620.81
  5. Step 5: Solve for x
    x = 109,620.81/338.88
  6. Step 6: Final answer
    x = 323.48

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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.