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Finding the Fourth Proportional to 544.26, 816.07 and 327.70

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Solution

The fourth proportional to 544.26, 816.07 and 327.70 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.26 : 816.07 = 327.70 : x
  2. Step 2: Convert to fraction form
    544.26/816.07 = 327.70/x
  3. Step 3: Cross multiply
    544.26x = 816.07 × 327.70
  4. Step 4: Simplify right side
    544.26x = 267,426.14
  5. Step 5: Solve for x
    x = 267,426.14/544.26
  6. Step 6: Final answer
    x = 491.36

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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.