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Finding the Fourth Proportional to 655.99, 905.27 and 361.25

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Solution

The fourth proportional to 655.99, 905.27 and 361.25 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.99 : 905.27 = 361.25 : x
  2. Step 2: Convert to fraction form
    655.99/905.27 = 361.25/x
  3. Step 3: Cross multiply
    655.99x = 905.27 × 361.25
  4. Step 4: Simplify right side
    655.99x = 327,028.79
  5. Step 5: Solve for x
    x = 327,028.79/655.99
  6. Step 6: Final answer
    x = 498.53

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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.