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Finding the Fourth Proportional to 322.13, 444.12 and 211.64

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Solution

The fourth proportional to 322.13, 444.12 and 211.64 is: 291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 444.12 = 211.64 : x
  2. Step 2: Convert to fraction form
    322.13/444.12 = 211.64/x
  3. Step 3: Cross multiply
    322.13x = 444.12 × 211.64
  4. Step 4: Simplify right side
    322.13x = 93,991.34
  5. Step 5: Solve for x
    x = 93,991.34/322.13
  6. Step 6: Final answer
    x = 291.79

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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.