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Finding the Fourth Proportional to 655.26, 982.88 and 411.95

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Solution

The fourth proportional to 655.26, 982.88 and 411.95 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.26 : 982.88 = 411.95 : x
  2. Step 2: Convert to fraction form
    655.26/982.88 = 411.95/x
  3. Step 3: Cross multiply
    655.26x = 982.88 × 411.95
  4. Step 4: Simplify right side
    655.26x = 404,897.42
  5. Step 5: Solve for x
    x = 404,897.42/655.26
  6. Step 6: Final answer
    x = 617.92

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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.