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Finding the Fourth Proportional to 289.65, 433.83 and 197.94

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Solution

The fourth proportional to 289.65, 433.83 and 197.94 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 433.83 = 197.94 : x
  2. Step 2: Convert to fraction form
    289.65/433.83 = 197.94/x
  3. Step 3: Cross multiply
    289.65x = 433.83 × 197.94
  4. Step 4: Simplify right side
    289.65x = 85,872.31
  5. Step 5: Solve for x
    x = 85,872.31/289.65
  6. Step 6: Final answer
    x = 296.47

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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.