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Finding the Fourth Proportional to 660.60, 991.06 and 227.76

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Solution

The fourth proportional to 660.60, 991.06 and 227.76 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 991.06 = 227.76 : x
  2. Step 2: Convert to fraction form
    660.60/991.06 = 227.76/x
  3. Step 3: Cross multiply
    660.60x = 991.06 × 227.76
  4. Step 4: Simplify right side
    660.60x = 225,723.83
  5. Step 5: Solve for x
    x = 225,723.83/660.60
  6. Step 6: Final answer
    x = 341.70

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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.