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Finding the Fourth Proportional to 660.86, 991.02 and 271.06

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Solution

The fourth proportional to 660.86, 991.02 and 271.06 is: 406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 991.02 = 271.06 : x
  2. Step 2: Convert to fraction form
    660.86/991.02 = 271.06/x
  3. Step 3: Cross multiply
    660.86x = 991.02 × 271.06
  4. Step 4: Simplify right side
    660.86x = 268,625.88
  5. Step 5: Solve for x
    x = 268,625.88/660.86
  6. Step 6: Final answer
    x = 406.48

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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.