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Finding the Fourth Proportional to 655.85, 905.06 and 361.11

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Solution

The fourth proportional to 655.85, 905.06 and 361.11 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.85 : 905.06 = 361.11 : x
  2. Step 2: Convert to fraction form
    655.85/905.06 = 361.11/x
  3. Step 3: Cross multiply
    655.85x = 905.06 × 361.11
  4. Step 4: Simplify right side
    655.85x = 326,824.41
  5. Step 5: Solve for x
    x = 326,824.41/655.85
  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.