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Finding the Fourth Proportional to 656.08, 984.10 and 327.28

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Solution

The fourth proportional to 656.08, 984.10 and 327.28 is: 490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.08 : 984.10 = 327.28 : x
  2. Step 2: Convert to fraction form
    656.08/984.10 = 327.28/x
  3. Step 3: Cross multiply
    656.08x = 984.10 × 327.28
  4. Step 4: Simplify right side
    656.08x = 322,076.25
  5. Step 5: Solve for x
    x = 322,076.25/656.08
  6. Step 6: Final answer
    x = 490.91

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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.