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Finding the Fourth Proportional to 300.95, 451.49 and 270.71

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Solution

The fourth proportional to 300.95, 451.49 and 270.71 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 451.49 = 270.71 : x
  2. Step 2: Convert to fraction form
    300.95/451.49 = 270.71/x
  3. Step 3: Cross multiply
    300.95x = 451.49 × 270.71
  4. Step 4: Simplify right side
    300.95x = 122,222.86
  5. Step 5: Solve for x
    x = 122,222.86/300.95
  6. Step 6: Final answer
    x = 406.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.