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Finding the Fourth Proportional to 544.87, 817.04 and 198.15

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Solution

The fourth proportional to 544.87, 817.04 and 198.15 is: 297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.87 : 817.04 = 198.15 : x
  2. Step 2: Convert to fraction form
    544.87/817.04 = 198.15/x
  3. Step 3: Cross multiply
    544.87x = 817.04 × 198.15
  4. Step 4: Simplify right side
    544.87x = 161,896.97
  5. Step 5: Solve for x
    x = 161,896.97/544.87
  6. Step 6: Final answer
    x = 297.13

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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.