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Finding the Fourth Proportional to 627.43, 865.79 and 361.91

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Solution

The fourth proportional to 627.43, 865.79 and 361.91 is: 499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.43 : 865.79 = 361.91 : x
  2. Step 2: Convert to fraction form
    627.43/865.79 = 361.91/x
  3. Step 3: Cross multiply
    627.43x = 865.79 × 361.91
  4. Step 4: Simplify right side
    627.43x = 313,336.25
  5. Step 5: Solve for x
    x = 313,336.25/627.43
  6. Step 6: Final answer
    x = 499.40

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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.