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Finding the Fourth Proportional to 273.12, 406.83 and 269.54

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Solution

The fourth proportional to 273.12, 406.83 and 269.54 is: 401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 406.83 = 269.54 : x
  2. Step 2: Convert to fraction form
    273.12/406.83 = 269.54/x
  3. Step 3: Cross multiply
    273.12x = 406.83 × 269.54
  4. Step 4: Simplify right side
    273.12x = 109,656.96
  5. Step 5: Solve for x
    x = 109,656.96/273.12
  6. Step 6: Final answer
    x = 401.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.