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Finding the Fourth Proportional to 300.26, 414.70 and 296.22

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Solution

The fourth proportional to 300.26, 414.70 and 296.22 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.26 : 414.70 = 296.22 : x
  2. Step 2: Convert to fraction form
    300.26/414.70 = 296.22/x
  3. Step 3: Cross multiply
    300.26x = 414.70 × 296.22
  4. Step 4: Simplify right side
    300.26x = 122,842.43
  5. Step 5: Solve for x
    x = 122,842.43/300.26
  6. Step 6: Final answer
    x = 409.12

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