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Finding the Fourth Proportional to 544.78, 816.97 and 198.03

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Solution

The fourth proportional to 544.78, 816.97 and 198.03 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.78 : 816.97 = 198.03 : x
  2. Step 2: Convert to fraction form
    544.78/816.97 = 198.03/x
  3. Step 3: Cross multiply
    544.78x = 816.97 × 198.03
  4. Step 4: Simplify right side
    544.78x = 161,784.57
  5. Step 5: Solve for x
    x = 161,784.57/544.78
  6. Step 6: Final answer
    x = 296.97

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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.