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Finding the Fourth Proportional to 627.25, 940.58 and 261.82

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Solution

The fourth proportional to 627.25, 940.58 and 261.82 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.25 : 940.58 = 261.82 : x
  2. Step 2: Convert to fraction form
    627.25/940.58 = 261.82/x
  3. Step 3: Cross multiply
    627.25x = 940.58 × 261.82
  4. Step 4: Simplify right side
    627.25x = 246,262.66
  5. Step 5: Solve for x
    x = 246,262.66/627.25
  6. Step 6: Final answer
    x = 392.61

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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.