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Finding the Fourth Proportional to 322.23, 444.71 and 269.69

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Solution

The fourth proportional to 322.23, 444.71 and 269.69 is: 372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.23 : 444.71 = 269.69 : x
  2. Step 2: Convert to fraction form
    322.23/444.71 = 269.69/x
  3. Step 3: Cross multiply
    322.23x = 444.71 × 269.69
  4. Step 4: Simplify right side
    322.23x = 119,932.29
  5. Step 5: Solve for x
    x = 119,932.29/322.23
  6. Step 6: Final answer
    x = 372.19

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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.