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Finding the Fourth Proportional to 601.68, 902.22 and 226.31

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Solution

The fourth proportional to 601.68, 902.22 and 226.31 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 902.22 = 226.31 : x
  2. Step 2: Convert to fraction form
    601.68/902.22 = 226.31/x
  3. Step 3: Cross multiply
    601.68x = 902.22 × 226.31
  4. Step 4: Simplify right side
    601.68x = 204,176.90
  5. Step 5: Solve for x
    x = 204,176.90/601.68
  6. Step 6: Final answer
    x = 339.34

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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.