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Finding the Fourth Proportional to 393.26, 589.22 and 267.94

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Solution

The fourth proportional to 393.26, 589.22 and 267.94 is: 401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 589.22 = 267.94 : x
  2. Step 2: Convert to fraction form
    393.26/589.22 = 267.94/x
  3. Step 3: Cross multiply
    393.26x = 589.22 × 267.94
  4. Step 4: Simplify right side
    393.26x = 157,875.61
  5. Step 5: Solve for x
    x = 157,875.61/393.26
  6. Step 6: Final answer
    x = 401.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.