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Finding the Fourth Proportional to 656.16, 905.44 and 481.60

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Solution

The fourth proportional to 656.16, 905.44 and 481.60 is: 664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 905.44 = 481.60 : x
  2. Step 2: Convert to fraction form
    656.16/905.44 = 481.60/x
  3. Step 3: Cross multiply
    656.16x = 905.44 × 481.60
  4. Step 4: Simplify right side
    656.16x = 436,059.90
  5. Step 5: Solve for x
    x = 436,059.90/656.16
  6. Step 6: Final answer
    x = 664.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.