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Finding the Fourth Proportional to 322.32, 444.16 and 233.65

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Solution

The fourth proportional to 322.32, 444.16 and 233.65 is: 321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 444.16 = 233.65 : x
  2. Step 2: Convert to fraction form
    322.32/444.16 = 233.65/x
  3. Step 3: Cross multiply
    322.32x = 444.16 × 233.65
  4. Step 4: Simplify right side
    322.32x = 103,776.29
  5. Step 5: Solve for x
    x = 103,776.29/322.32
  6. Step 6: Final answer
    x = 321.97

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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.