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Finding the Fourth Proportional to 322.74, 444.92 and 229.23

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Solution

The fourth proportional to 322.74, 444.92 and 229.23 is: 316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 444.92 = 229.23 : x
  2. Step 2: Convert to fraction form
    322.74/444.92 = 229.23/x
  3. Step 3: Cross multiply
    322.74x = 444.92 × 229.23
  4. Step 4: Simplify right side
    322.74x = 101,987.87
  5. Step 5: Solve for x
    x = 101,987.87/322.74
  6. Step 6: Final answer
    x = 316.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.