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Finding the Fourth Proportional to 300.34, 414.27 and 230.41

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Solution

The fourth proportional to 300.34, 414.27 and 230.41 is: 317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.34 : 414.27 = 230.41 : x
  2. Step 2: Convert to fraction form
    300.34/414.27 = 230.41/x
  3. Step 3: Cross multiply
    300.34x = 414.27 × 230.41
  4. Step 4: Simplify right side
    300.34x = 95,451.95
  5. Step 5: Solve for x
    x = 95,451.95/300.34
  6. Step 6: Final answer
    x = 317.81

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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.