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Finding the Fourth Proportional to 444.24, 665.82 and 227.70

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Solution

The fourth proportional to 444.24, 665.82 and 227.70 is: 341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 665.82 = 227.70 : x
  2. Step 2: Convert to fraction form
    444.24/665.82 = 227.70/x
  3. Step 3: Cross multiply
    444.24x = 665.82 × 227.70
  4. Step 4: Simplify right side
    444.24x = 151,607.21
  5. Step 5: Solve for x
    x = 151,607.21/444.24
  6. Step 6: Final answer
    x = 341.27

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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.