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Finding the Fourth Proportional to 300.67, 414.73 and 207.42

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Solution

The fourth proportional to 300.67, 414.73 and 207.42 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.67 : 414.73 = 207.42 : x
  2. Step 2: Convert to fraction form
    300.67/414.73 = 207.42/x
  3. Step 3: Cross multiply
    300.67x = 414.73 × 207.42
  4. Step 4: Simplify right side
    300.67x = 86,022.78
  5. Step 5: Solve for x
    x = 86,022.78/300.67
  6. Step 6: Final answer
    x = 286.11

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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.