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Finding the Fourth Proportional to 453.48, 680.24 and 222.48

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Solution

The fourth proportional to 453.48, 680.24 and 222.48 is: 333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 680.24 = 222.48 : x
  2. Step 2: Convert to fraction form
    453.48/680.24 = 222.48/x
  3. Step 3: Cross multiply
    453.48x = 680.24 × 222.48
  4. Step 4: Simplify right side
    453.48x = 151,336.39
  5. Step 5: Solve for x
    x = 151,336.39/453.48
  6. Step 6: Final answer
    x = 333.73

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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.