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Finding the Fourth Proportional to 655.76, 905.00 and 361.09

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Solution

The fourth proportional to 655.76, 905.00 and 361.09 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 905.00 = 361.09 : x
  2. Step 2: Convert to fraction form
    655.76/905.00 = 361.09/x
  3. Step 3: Cross multiply
    655.76x = 905.00 × 361.09
  4. Step 4: Simplify right side
    655.76x = 326,785.09
  5. Step 5: Solve for x
    x = 326,785.09/655.76
  6. Step 6: Final answer
    x = 498.33

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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.