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Finding the Fourth Proportional to 309.49, 464.28 and 273.27

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Solution

The fourth proportional to 309.49, 464.28 and 273.27 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.49 : 464.28 = 273.27 : x
  2. Step 2: Convert to fraction form
    309.49/464.28 = 273.27/x
  3. Step 3: Cross multiply
    309.49x = 464.28 × 273.27
  4. Step 4: Simplify right side
    309.49x = 126,872.43
  5. Step 5: Solve for x
    x = 126,872.43/309.49
  6. Step 6: Final answer
    x = 409.94

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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.