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Finding the Fourth Proportional to 544.40, 814.35 and 496.34

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Solution

The fourth proportional to 544.40, 814.35 and 496.34 is: 742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 814.35 = 496.34 : x
  2. Step 2: Convert to fraction form
    544.40/814.35 = 496.34/x
  3. Step 3: Cross multiply
    544.40x = 814.35 × 496.34
  4. Step 4: Simplify right side
    544.40x = 404,194.48
  5. Step 5: Solve for x
    x = 404,194.48/544.40
  6. Step 6: Final answer
    x = 742.46

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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.