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Finding the Fourth Proportional to 609.41, 912.22 and 492.88

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Solution

The fourth proportional to 609.41, 912.22 and 492.88 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.41 : 912.22 = 492.88 : x
  2. Step 2: Convert to fraction form
    609.41/912.22 = 492.88/x
  3. Step 3: Cross multiply
    609.41x = 912.22 × 492.88
  4. Step 4: Simplify right side
    609.41x = 449,611.48
  5. Step 5: Solve for x
    x = 449,611.48/609.41
  6. Step 6: Final answer
    x = 737.79

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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.