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Finding the Fourth Proportional to 660.83, 990.97 and 227.93

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Solution

The fourth proportional to 660.83, 990.97 and 227.93 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.83 : 990.97 = 227.93 : x
  2. Step 2: Convert to fraction form
    660.83/990.97 = 227.93/x
  3. Step 3: Cross multiply
    660.83x = 990.97 × 227.93
  4. Step 4: Simplify right side
    660.83x = 225,866.27
  5. Step 5: Solve for x
    x = 225,866.27/660.83
  6. Step 6: Final answer
    x = 341.79

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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.