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Finding the Fourth Proportional to 544.48, 816.42 and 179.24

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Solution

The fourth proportional to 544.48, 816.42 and 179.24 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.48 : 816.42 = 179.24 : x
  2. Step 2: Convert to fraction form
    544.48/816.42 = 179.24/x
  3. Step 3: Cross multiply
    544.48x = 816.42 × 179.24
  4. Step 4: Simplify right side
    544.48x = 146,333.43
  5. Step 5: Solve for x
    x = 146,333.43/544.48
  6. Step 6: Final answer
    x = 268.76

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Why These Related Problems?

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