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Finding the Fourth Proportional to 661.06, 990.83 and 249.95

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Solution

The fourth proportional to 661.06, 990.83 and 249.95 is: 374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 990.83 = 249.95 : x
  2. Step 2: Convert to fraction form
    661.06/990.83 = 249.95/x
  3. Step 3: Cross multiply
    661.06x = 990.83 × 249.95
  4. Step 4: Simplify right side
    661.06x = 247,661.06
  5. Step 5: Solve for x
    x = 247,661.06/661.06
  6. Step 6: Final answer
    x = 374.64

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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.