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Finding the Fourth Proportional to 627.40, 940.26 and 261.76

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Solution

The fourth proportional to 627.40, 940.26 and 261.76 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 940.26 = 261.76 : x
  2. Step 2: Convert to fraction form
    627.40/940.26 = 261.76/x
  3. Step 3: Cross multiply
    627.40x = 940.26 × 261.76
  4. Step 4: Simplify right side
    627.40x = 246,122.46
  5. Step 5: Solve for x
    x = 246,122.46/627.40
  6. Step 6: Final answer
    x = 392.29

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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.