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Finding the Fourth Proportional to 655.96, 905.25 and 361.27

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Solution

The fourth proportional to 655.96, 905.25 and 361.27 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 905.25 = 361.27 : x
  2. Step 2: Convert to fraction form
    655.96/905.25 = 361.27/x
  3. Step 3: Cross multiply
    655.96x = 905.25 × 361.27
  4. Step 4: Simplify right side
    655.96x = 327,039.67
  5. Step 5: Solve for x
    x = 327,039.67/655.96
  6. Step 6: Final answer
    x = 498.57

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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.