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Finding the Fourth Proportional to 289.96, 397.96 and 268.04

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Solution

The fourth proportional to 289.96, 397.96 and 268.04 is: 367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 397.96 = 268.04 : x
  2. Step 2: Convert to fraction form
    289.96/397.96 = 268.04/x
  3. Step 3: Cross multiply
    289.96x = 397.96 × 268.04
  4. Step 4: Simplify right side
    289.96x = 106,669.20
  5. Step 5: Solve for x
    x = 106,669.20/289.96
  6. Step 6: Final answer
    x = 367.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.