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Finding the Fourth Proportional to 544.24, 816.28 and 179.03

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Solution

The fourth proportional to 544.24, 816.28 and 179.03 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 816.28 = 179.03 : x
  2. Step 2: Convert to fraction form
    544.24/816.28 = 179.03/x
  3. Step 3: Cross multiply
    544.24x = 816.28 × 179.03
  4. Step 4: Simplify right side
    544.24x = 146,138.61
  5. Step 5: Solve for x
    x = 146,138.61/544.24
  6. Step 6: Final answer
    x = 268.52

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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.