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Finding the Fourth Proportional to 484.97, 727.44 and 119.76

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Solution

The fourth proportional to 484.97, 727.44 and 119.76 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.97 : 727.44 = 119.76 : x
  2. Step 2: Convert to fraction form
    484.97/727.44 = 119.76/x
  3. Step 3: Cross multiply
    484.97x = 727.44 × 119.76
  4. Step 4: Simplify right side
    484.97x = 87,118.21
  5. Step 5: Solve for x
    x = 87,118.21/484.97
  6. Step 6: Final answer
    x = 179.64

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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.