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Finding the Fourth Proportional to 453.70, 680.29 and 222.09

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Solution

The fourth proportional to 453.70, 680.29 and 222.09 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.70 : 680.29 = 222.09 : x
  2. Step 2: Convert to fraction form
    453.70/680.29 = 222.09/x
  3. Step 3: Cross multiply
    453.70x = 680.29 × 222.09
  4. Step 4: Simplify right side
    453.70x = 151,085.02
  5. Step 5: Solve for x
    x = 151,085.02/453.70
  6. Step 6: Final answer
    x = 333.01

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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.