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Finding the Fourth Proportional to 322.36, 444.16 and 234.88

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Solution

The fourth proportional to 322.36, 444.16 and 234.88 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.36 : 444.16 = 234.88 : x
  2. Step 2: Convert to fraction form
    322.36/444.16 = 234.88/x
  3. Step 3: Cross multiply
    322.36x = 444.16 × 234.88
  4. Step 4: Simplify right side
    322.36x = 104,324.30
  5. Step 5: Solve for x
    x = 104,324.30/322.36
  6. Step 6: Final answer
    x = 323.63

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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.