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Finding the Fourth Proportional to 661.92, 992.67 and 271.90

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Solution

The fourth proportional to 661.92, 992.67 and 271.90 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 992.67 = 271.90 : x
  2. Step 2: Convert to fraction form
    661.92/992.67 = 271.90/x
  3. Step 3: Cross multiply
    661.92x = 992.67 × 271.90
  4. Step 4: Simplify right side
    661.92x = 269,906.97
  5. Step 5: Solve for x
    x = 269,906.97/661.92
  6. Step 6: Final answer
    x = 407.76

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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.