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Finding the Fourth Proportional to 544.24, 815.85 and 197.29

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Solution

The fourth proportional to 544.24, 815.85 and 197.29 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 815.85 = 197.29 : x
  2. Step 2: Convert to fraction form
    544.24/815.85 = 197.29/x
  3. Step 3: Cross multiply
    544.24x = 815.85 × 197.29
  4. Step 4: Simplify right side
    544.24x = 160,959.05
  5. Step 5: Solve for x
    x = 160,959.05/544.24
  6. Step 6: Final answer
    x = 295.75

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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.