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Finding the Fourth Proportional to 667.44, 920.97 and 471.22

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Solution

The fourth proportional to 667.44, 920.97 and 471.22 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 920.97 = 471.22 : x
  2. Step 2: Convert to fraction form
    667.44/920.97 = 471.22/x
  3. Step 3: Cross multiply
    667.44x = 920.97 × 471.22
  4. Step 4: Simplify right side
    667.44x = 433,977.18
  5. Step 5: Solve for x
    x = 433,977.18/667.44
  6. Step 6: Final answer
    x = 650.21

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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.