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Finding the Fourth Proportional to 650.37, 974.33 and 325.97

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Solution

The fourth proportional to 650.37, 974.33 and 325.97 is: 488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.37 : 974.33 = 325.97 : x
  2. Step 2: Convert to fraction form
    650.37/974.33 = 325.97/x
  3. Step 3: Cross multiply
    650.37x = 974.33 × 325.97
  4. Step 4: Simplify right side
    650.37x = 317,597.48
  5. Step 5: Solve for x
    x = 317,597.48/650.37
  6. Step 6: Final answer
    x = 488.33

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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.