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Finding the Fourth Proportional to 650.39, 975.83 and 239.80

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Solution

The fourth proportional to 650.39, 975.83 and 239.80 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.39 : 975.83 = 239.80 : x
  2. Step 2: Convert to fraction form
    650.39/975.83 = 239.80/x
  3. Step 3: Cross multiply
    650.39x = 975.83 × 239.80
  4. Step 4: Simplify right side
    650.39x = 234,004.03
  5. Step 5: Solve for x
    x = 234,004.03/650.39
  6. Step 6: Final answer
    x = 359.79

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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.