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Finding the Fourth Proportional to 443.49, 664.70 and 226.95

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Solution

The fourth proportional to 443.49, 664.70 and 226.95 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.49 : 664.70 = 226.95 : x
  2. Step 2: Convert to fraction form
    443.49/664.70 = 226.95/x
  3. Step 3: Cross multiply
    443.49x = 664.70 × 226.95
  4. Step 4: Simplify right side
    443.49x = 150,852.53
  5. Step 5: Solve for x
    x = 150,852.53/443.49
  6. Step 6: Final answer
    x = 340.15

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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.