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Finding the Fourth Proportional to 667.43, 919.92 and 457.24

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Solution

The fourth proportional to 667.43, 919.92 and 457.24 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.43 : 919.92 = 457.24 : x
  2. Step 2: Convert to fraction form
    667.43/919.92 = 457.24/x
  3. Step 3: Cross multiply
    667.43x = 919.92 × 457.24
  4. Step 4: Simplify right side
    667.43x = 420,619.62
  5. Step 5: Solve for x
    x = 420,619.62/667.43
  6. Step 6: Final answer
    x = 630.21

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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.