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Finding the Fourth Proportional to 444.72, 667.24 and 201.44

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Solution

The fourth proportional to 444.72, 667.24 and 201.44 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.72 : 667.24 = 201.44 : x
  2. Step 2: Convert to fraction form
    444.72/667.24 = 201.44/x
  3. Step 3: Cross multiply
    444.72x = 667.24 × 201.44
  4. Step 4: Simplify right side
    444.72x = 134,408.83
  5. Step 5: Solve for x
    x = 134,408.83/444.72
  6. Step 6: Final answer
    x = 302.23

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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.