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Finding the Fourth Proportional to 655.96, 905.22 and 361.21

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Solution

The fourth proportional to 655.96, 905.22 and 361.21 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 905.22 = 361.21 : x
  2. Step 2: Convert to fraction form
    655.96/905.22 = 361.21/x
  3. Step 3: Cross multiply
    655.96x = 905.22 × 361.21
  4. Step 4: Simplify right side
    655.96x = 326,974.52
  5. Step 5: Solve for x
    x = 326,974.52/655.96
  6. Step 6: Final answer
    x = 498.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.