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Finding the Fourth Proportional to 301.50, 414.81 and 268.68

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Solution

The fourth proportional to 301.50, 414.81 and 268.68 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 414.81 = 268.68 : x
  2. Step 2: Convert to fraction form
    301.50/414.81 = 268.68/x
  3. Step 3: Cross multiply
    301.50x = 414.81 × 268.68
  4. Step 4: Simplify right side
    301.50x = 111,451.15
  5. Step 5: Solve for x
    x = 111,451.15/301.50
  6. Step 6: Final answer
    x = 369.66

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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.