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Finding the Fourth Proportional to 289.56, 399.92 and 211.23

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Solution

The fourth proportional to 289.56, 399.92 and 211.23 is: 291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.56 : 399.92 = 211.23 : x
  2. Step 2: Convert to fraction form
    289.56/399.92 = 211.23/x
  3. Step 3: Cross multiply
    289.56x = 399.92 × 211.23
  4. Step 4: Simplify right side
    289.56x = 84,473.10
  5. Step 5: Solve for x
    x = 84,473.10/289.56
  6. Step 6: Final answer
    x = 291.73

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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.