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Finding the Fourth Proportional to 655.87, 905.12 and 361.15

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Solution

The fourth proportional to 655.87, 905.12 and 361.15 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.87 : 905.12 = 361.15 : x
  2. Step 2: Convert to fraction form
    655.87/905.12 = 361.15/x
  3. Step 3: Cross multiply
    655.87x = 905.12 × 361.15
  4. Step 4: Simplify right side
    655.87x = 326,882.90
  5. Step 5: Solve for x
    x = 326,882.90/655.87
  6. Step 6: Final answer
    x = 498.39

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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.