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Finding the Fourth Proportional to 273.92, 411.26 and 228.83

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Solution

The fourth proportional to 273.92, 411.26 and 228.83 is: 343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.92 : 411.26 = 228.83 : x
  2. Step 2: Convert to fraction form
    273.92/411.26 = 228.83/x
  3. Step 3: Cross multiply
    273.92x = 411.26 × 228.83
  4. Step 4: Simplify right side
    273.92x = 94,108.51
  5. Step 5: Solve for x
    x = 94,108.51/273.92
  6. Step 6: Final answer
    x = 343.56

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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.