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Finding the Fourth Proportional to 660.66, 991.05 and 227.71

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Solution

The fourth proportional to 660.66, 991.05 and 227.71 is: 341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.66 : 991.05 = 227.71 : x
  2. Step 2: Convert to fraction form
    660.66/991.05 = 227.71/x
  3. Step 3: Cross multiply
    660.66x = 991.05 × 227.71
  4. Step 4: Simplify right side
    660.66x = 225,672.00
  5. Step 5: Solve for x
    x = 225,672.00/660.66
  6. Step 6: Final answer
    x = 341.59

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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.