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Finding the Fourth Proportional to 296.09, 408.38 and 217.38

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Solution

The fourth proportional to 296.09, 408.38 and 217.38 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.09 : 408.38 = 217.38 : x
  2. Step 2: Convert to fraction form
    296.09/408.38 = 217.38/x
  3. Step 3: Cross multiply
    296.09x = 408.38 × 217.38
  4. Step 4: Simplify right side
    296.09x = 88,771.60
  5. Step 5: Solve for x
    x = 88,771.60/296.09
  6. Step 6: Final answer
    x = 299.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.