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Finding the Fourth Proportional to 481.70, 722.74 and 327.80

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Solution

The fourth proportional to 481.70, 722.74 and 327.80 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 722.74 = 327.80 : x
  2. Step 2: Convert to fraction form
    481.70/722.74 = 327.80/x
  3. Step 3: Cross multiply
    481.70x = 722.74 × 327.80
  4. Step 4: Simplify right side
    481.70x = 236,914.17
  5. Step 5: Solve for x
    x = 236,914.17/481.70
  6. Step 6: Final answer
    x = 491.83

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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.