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Finding the Fourth Proportional to 905.26, 1,355.83 and 443.41

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Solution

The fourth proportional to 905.26, 1,355.83 and 443.41 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,355.83 = 443.41 : x
  2. Step 2: Convert to fraction form
    905.26/1,355.83 = 443.41/x
  3. Step 3: Cross multiply
    905.26x = 1,355.83 × 443.41
  4. Step 4: Simplify right side
    905.26x = 601,188.58
  5. Step 5: Solve for x
    x = 601,188.58/905.26
  6. Step 6: Final answer
    x = 664.11

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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.