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Finding the Fourth Proportional to 544.63, 816.97 and 179.41

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Solution

The fourth proportional to 544.63, 816.97 and 179.41 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.63 : 816.97 = 179.41 : x
  2. Step 2: Convert to fraction form
    544.63/816.97 = 179.41/x
  3. Step 3: Cross multiply
    544.63x = 816.97 × 179.41
  4. Step 4: Simplify right side
    544.63x = 146,570.10
  5. Step 5: Solve for x
    x = 146,570.10/544.63
  6. Step 6: Final answer
    x = 269.12

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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.