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Finding the Fourth Proportional to 544.80, 817.44 and 198.24

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Solution

The fourth proportional to 544.80, 817.44 and 198.24 is: 297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.80 : 817.44 = 198.24 : x
  2. Step 2: Convert to fraction form
    544.80/817.44 = 198.24/x
  3. Step 3: Cross multiply
    544.80x = 817.44 × 198.24
  4. Step 4: Simplify right side
    544.80x = 162,049.31
  5. Step 5: Solve for x
    x = 162,049.31/544.80
  6. Step 6: Final answer
    x = 297.45

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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.