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Finding the Fourth Proportional to 300.62, 414.78 and 276.06

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Solution

The fourth proportional to 300.62, 414.78 and 276.06 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 414.78 = 276.06 : x
  2. Step 2: Convert to fraction form
    300.62/414.78 = 276.06/x
  3. Step 3: Cross multiply
    300.62x = 414.78 × 276.06
  4. Step 4: Simplify right side
    300.62x = 114,504.17
  5. Step 5: Solve for x
    x = 114,504.17/300.62
  6. Step 6: Final answer
    x = 380.89

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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.