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Finding the Fourth Proportional to 322.04, 444.21 and 211.67

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Solution

The fourth proportional to 322.04, 444.21 and 211.67 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.04 : 444.21 = 211.67 : x
  2. Step 2: Convert to fraction form
    322.04/444.21 = 211.67/x
  3. Step 3: Cross multiply
    322.04x = 444.21 × 211.67
  4. Step 4: Simplify right side
    322.04x = 94,025.93
  5. Step 5: Solve for x
    x = 94,025.93/322.04
  6. Step 6: Final answer
    x = 291.97

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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.