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Finding the Fourth Proportional to 627.82, 941.13 and 396

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Solution

The fourth proportional to 627.82, 941.13 and 396 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 941.13 = 396 : x
  2. Step 2: Convert to fraction form
    627.82/941.13 = 396/x
  3. Step 3: Cross multiply
    627.82x = 941.13 × 396
  4. Step 4: Simplify right side
    627.82x = 372,687.48
  5. Step 5: Solve for x
    x = 372,687.48/627.82
  6. Step 6: Final answer
    x = 593.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.