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Finding the Fourth Proportional to 544.14, 816.32 and 197.49

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Solution

The fourth proportional to 544.14, 816.32 and 197.49 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 816.32 = 197.49 : x
  2. Step 2: Convert to fraction form
    544.14/816.32 = 197.49/x
  3. Step 3: Cross multiply
    544.14x = 816.32 × 197.49
  4. Step 4: Simplify right side
    544.14x = 161,214.05
  5. Step 5: Solve for x
    x = 161,214.05/544.14
  6. Step 6: Final answer
    x = 296.27

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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.