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Finding the Fourth Proportional to 656.92, 984.16 and 327.49

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Solution

The fourth proportional to 656.92, 984.16 and 327.49 is: 490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 984.16 = 327.49 : x
  2. Step 2: Convert to fraction form
    656.92/984.16 = 327.49/x
  3. Step 3: Cross multiply
    656.92x = 984.16 × 327.49
  4. Step 4: Simplify right side
    656.92x = 322,297.64
  5. Step 5: Solve for x
    x = 322,297.64/656.92
  6. Step 6: Final answer
    x = 490.62

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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.