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Finding the Fourth Proportional to 300.86, 412.97 and 267.38

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Solution

The fourth proportional to 300.86, 412.97 and 267.38 is: 367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 412.97 = 267.38 : x
  2. Step 2: Convert to fraction form
    300.86/412.97 = 267.38/x
  3. Step 3: Cross multiply
    300.86x = 412.97 × 267.38
  4. Step 4: Simplify right side
    300.86x = 110,419.92
  5. Step 5: Solve for x
    x = 110,419.92/300.86
  6. Step 6: Final answer
    x = 367.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.