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Finding the Fourth Proportional to 322.31, 444.76 and 191.31

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Solution

The fourth proportional to 322.31, 444.76 and 191.31 is: 263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 444.76 = 191.31 : x
  2. Step 2: Convert to fraction form
    322.31/444.76 = 191.31/x
  3. Step 3: Cross multiply
    322.31x = 444.76 × 191.31
  4. Step 4: Simplify right side
    322.31x = 85,087.04
  5. Step 5: Solve for x
    x = 85,087.04/322.31
  6. Step 6: Final answer
    x = 263.99

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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.