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Finding the Fourth Proportional to 301.82, 414.71 and 246.42

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Solution

The fourth proportional to 301.82, 414.71 and 246.42 is: 338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 414.71 = 246.42 : x
  2. Step 2: Convert to fraction form
    301.82/414.71 = 246.42/x
  3. Step 3: Cross multiply
    301.82x = 414.71 × 246.42
  4. Step 4: Simplify right side
    301.82x = 102,191.61
  5. Step 5: Solve for x
    x = 102,191.61/301.82
  6. Step 6: Final answer
    x = 338.58

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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.