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Finding the Fourth Proportional to 655.26, 982.82 and 411.06

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Solution

The fourth proportional to 655.26, 982.82 and 411.06 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.26 : 982.82 = 411.06 : x
  2. Step 2: Convert to fraction form
    655.26/982.82 = 411.06/x
  3. Step 3: Cross multiply
    655.26x = 982.82 × 411.06
  4. Step 4: Simplify right side
    655.26x = 403,997.99
  5. Step 5: Solve for x
    x = 403,997.99/655.26
  6. Step 6: Final answer
    x = 616.55

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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.