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Finding the Fourth Proportional to 322.34, 444.24 and 234.86

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Solution

The fourth proportional to 322.34, 444.24 and 234.86 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 444.24 = 234.86 : x
  2. Step 2: Convert to fraction form
    322.34/444.24 = 234.86/x
  3. Step 3: Cross multiply
    322.34x = 444.24 × 234.86
  4. Step 4: Simplify right side
    322.34x = 104,331.99
  5. Step 5: Solve for x
    x = 104,331.99/322.34
  6. Step 6: Final answer
    x = 323.68

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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.