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Finding the Fourth Proportional to 660.56, 991.02 and 227.72

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Solution

The fourth proportional to 660.56, 991.02 and 227.72 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.56 : 991.02 = 227.72 : x
  2. Step 2: Convert to fraction form
    660.56/991.02 = 227.72/x
  3. Step 3: Cross multiply
    660.56x = 991.02 × 227.72
  4. Step 4: Simplify right side
    660.56x = 225,675.07
  5. Step 5: Solve for x
    x = 225,675.07/660.56
  6. Step 6: Final answer
    x = 341.64

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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.