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Finding the Fourth Proportional to 442.05, 662.25 and 222.41

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Solution

The fourth proportional to 442.05, 662.25 and 222.41 is: 333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.05 : 662.25 = 222.41 : x
  2. Step 2: Convert to fraction form
    442.05/662.25 = 222.41/x
  3. Step 3: Cross multiply
    442.05x = 662.25 × 222.41
  4. Step 4: Simplify right side
    442.05x = 147,291.02
  5. Step 5: Solve for x
    x = 147,291.02/442.05
  6. Step 6: Final answer
    x = 333.20

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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.