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Finding the Fourth Proportional to 661.77, 992.27 and 271.97

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Solution

The fourth proportional to 661.77, 992.27 and 271.97 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 992.27 = 271.97 : x
  2. Step 2: Convert to fraction form
    661.77/992.27 = 271.97/x
  3. Step 3: Cross multiply
    661.77x = 992.27 × 271.97
  4. Step 4: Simplify right side
    661.77x = 269,861.35
  5. Step 5: Solve for x
    x = 269,861.35/661.77
  6. Step 6: Final answer
    x = 407.79

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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.