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Finding the Fourth Proportional to 299.24, 414.59 and 293.48

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Solution

The fourth proportional to 299.24, 414.59 and 293.48 is: 406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 414.59 = 293.48 : x
  2. Step 2: Convert to fraction form
    299.24/414.59 = 293.48/x
  3. Step 3: Cross multiply
    299.24x = 414.59 × 293.48
  4. Step 4: Simplify right side
    299.24x = 121,673.87
  5. Step 5: Solve for x
    x = 121,673.87/299.24
  6. Step 6: Final answer
    x = 406.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.