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Finding the Fourth Proportional to 289.41, 434.39 and 196.57

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Solution

The fourth proportional to 289.41, 434.39 and 196.57 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 434.39 = 196.57 : x
  2. Step 2: Convert to fraction form
    289.41/434.39 = 196.57/x
  3. Step 3: Cross multiply
    289.41x = 434.39 × 196.57
  4. Step 4: Simplify right side
    289.41x = 85,388.04
  5. Step 5: Solve for x
    x = 85,388.04/289.41
  6. Step 6: Final answer
    x = 295.04

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Why These Related Problems?

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