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Finding the Fourth Proportional to 544.61, 817.43 and 198.28

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Solution

The fourth proportional to 544.61, 817.43 and 198.28 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.61 : 817.43 = 198.28 : x
  2. Step 2: Convert to fraction form
    544.61/817.43 = 198.28/x
  3. Step 3: Cross multiply
    544.61x = 817.43 × 198.28
  4. Step 4: Simplify right side
    544.61x = 162,074.94
  5. Step 5: Solve for x
    x = 162,074.94/544.61
  6. Step 6: Final answer
    x = 297.60

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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.