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Finding the Fourth Proportional to 655.43, 982.22 and 492.92

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Solution

The fourth proportional to 655.43, 982.22 and 492.92 is: 738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.43 : 982.22 = 492.92 : x
  2. Step 2: Convert to fraction form
    655.43/982.22 = 492.92/x
  3. Step 3: Cross multiply
    655.43x = 982.22 × 492.92
  4. Step 4: Simplify right side
    655.43x = 484,155.88
  5. Step 5: Solve for x
    x = 484,155.88/655.43
  6. Step 6: Final answer
    x = 738.68

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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.