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Finding the Fourth Proportional to 668.36, 922.59 and 447.23

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Solution

The fourth proportional to 668.36, 922.59 and 447.23 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.36 : 922.59 = 447.23 : x
  2. Step 2: Convert to fraction form
    668.36/922.59 = 447.23/x
  3. Step 3: Cross multiply
    668.36x = 922.59 × 447.23
  4. Step 4: Simplify right side
    668.36x = 412,603.64
  5. Step 5: Solve for x
    x = 412,603.64/668.36
  6. Step 6: Final answer
    x = 617.34

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