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Finding the Fourth Proportional to 626.92, 940.38 and 261.76

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Solution

The fourth proportional to 626.92, 940.38 and 261.76 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.92 : 940.38 = 261.76 : x
  2. Step 2: Convert to fraction form
    626.92/940.38 = 261.76/x
  3. Step 3: Cross multiply
    626.92x = 940.38 × 261.76
  4. Step 4: Simplify right side
    626.92x = 246,153.87
  5. Step 5: Solve for x
    x = 246,153.87/626.92
  6. Step 6: Final answer
    x = 392.64

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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.