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Finding the Fourth Proportional to 300.62, 414.60 and 263.84

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Solution

The fourth proportional to 300.62, 414.60 and 263.84 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 414.60 = 263.84 : x
  2. Step 2: Convert to fraction form
    300.62/414.60 = 263.84/x
  3. Step 3: Cross multiply
    300.62x = 414.60 × 263.84
  4. Step 4: Simplify right side
    300.62x = 109,388.06
  5. Step 5: Solve for x
    x = 109,388.06/300.62
  6. Step 6: Final answer
    x = 363.87

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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.