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Finding the Fourth Proportional to 650.44, 974.82 and 285.12

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Solution

The fourth proportional to 650.44, 974.82 and 285.12 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 974.82 = 285.12 : x
  2. Step 2: Convert to fraction form
    650.44/974.82 = 285.12/x
  3. Step 3: Cross multiply
    650.44x = 974.82 × 285.12
  4. Step 4: Simplify right side
    650.44x = 277,940.68
  5. Step 5: Solve for x
    x = 277,940.68/650.44
  6. Step 6: Final answer
    x = 427.31

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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.