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Finding the Fourth Proportional to 289.20, 400.93 and 273.61

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Solution

The fourth proportional to 289.20, 400.93 and 273.61 is: 379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 400.93 = 273.61 : x
  2. Step 2: Convert to fraction form
    289.20/400.93 = 273.61/x
  3. Step 3: Cross multiply
    289.20x = 400.93 × 273.61
  4. Step 4: Simplify right side
    289.20x = 109,698.46
  5. Step 5: Solve for x
    x = 109,698.46/289.20
  6. Step 6: Final answer
    x = 379.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.