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Finding the Fourth Proportional to 655.57, 982.10 and 338.05

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Solution

The fourth proportional to 655.57, 982.10 and 338.05 is: 506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 982.10 = 338.05 : x
  2. Step 2: Convert to fraction form
    655.57/982.10 = 338.05/x
  3. Step 3: Cross multiply
    655.57x = 982.10 × 338.05
  4. Step 4: Simplify right side
    655.57x = 331,997.29
  5. Step 5: Solve for x
    x = 331,997.29/655.57
  6. Step 6: Final answer
    x = 506.43

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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.