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Finding the Fourth Proportional to 289.39, 433.60 and 197.91

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Solution

The fourth proportional to 289.39, 433.60 and 197.91 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.39 : 433.60 = 197.91 : x
  2. Step 2: Convert to fraction form
    289.39/433.60 = 197.91/x
  3. Step 3: Cross multiply
    289.39x = 433.60 × 197.91
  4. Step 4: Simplify right side
    289.39x = 85,814.39
  5. Step 5: Solve for x
    x = 85,814.39/289.39
  6. Step 6: Final answer
    x = 296.54

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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.