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Finding the Fourth Proportional to 322.05, 444.34 and 233.66

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Solution

The fourth proportional to 322.05, 444.34 and 233.66 is: 322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.05 : 444.34 = 233.66 : x
  2. Step 2: Convert to fraction form
    322.05/444.34 = 233.66/x
  3. Step 3: Cross multiply
    322.05x = 444.34 × 233.66
  4. Step 4: Simplify right side
    322.05x = 103,824.48
  5. Step 5: Solve for x
    x = 103,824.48/322.05
  6. Step 6: Final answer
    x = 322.39

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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.