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Finding the Fourth Proportional to 299.64, 408.18 and 293.70

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Solution

The fourth proportional to 299.64, 408.18 and 293.70 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 408.18 = 293.70 : x
  2. Step 2: Convert to fraction form
    299.64/408.18 = 293.70/x
  3. Step 3: Cross multiply
    299.64x = 408.18 × 293.70
  4. Step 4: Simplify right side
    299.64x = 119,882.47
  5. Step 5: Solve for x
    x = 119,882.47/299.64
  6. Step 6: Final answer
    x = 400.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.