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Finding the Fourth Proportional to 668.16, 922.42 and 447.33

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Solution

The fourth proportional to 668.16, 922.42 and 447.33 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 922.42 = 447.33 : x
  2. Step 2: Convert to fraction form
    668.16/922.42 = 447.33/x
  3. Step 3: Cross multiply
    668.16x = 922.42 × 447.33
  4. Step 4: Simplify right side
    668.16x = 412,630.16
  5. Step 5: Solve for x
    x = 412,630.16/668.16
  6. Step 6: Final answer
    x = 617.56

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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.