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Finding the Fourth Proportional to 289.26, 398.17 and 250.05

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Solution

The fourth proportional to 289.26, 398.17 and 250.05 is: 344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 398.17 = 250.05 : x
  2. Step 2: Convert to fraction form
    289.26/398.17 = 250.05/x
  3. Step 3: Cross multiply
    289.26x = 398.17 × 250.05
  4. Step 4: Simplify right side
    289.26x = 99,562.41
  5. Step 5: Solve for x
    x = 99,562.41/289.26
  6. Step 6: Final answer
    x = 344.20

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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.