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Finding the Fourth Proportional to 289.27, 433.91 and 272.36

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Solution

The fourth proportional to 289.27, 433.91 and 272.36 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 433.91 = 272.36 : x
  2. Step 2: Convert to fraction form
    289.27/433.91 = 272.36/x
  3. Step 3: Cross multiply
    289.27x = 433.91 × 272.36
  4. Step 4: Simplify right side
    289.27x = 118,179.96
  5. Step 5: Solve for x
    x = 118,179.96/289.27
  6. Step 6: Final answer
    x = 408.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.