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Finding the Fourth Proportional to 544.51, 816.77 and 197.84

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Solution

The fourth proportional to 544.51, 816.77 and 197.84 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.51 : 816.77 = 197.84 : x
  2. Step 2: Convert to fraction form
    544.51/816.77 = 197.84/x
  3. Step 3: Cross multiply
    544.51x = 816.77 × 197.84
  4. Step 4: Simplify right side
    544.51x = 161,589.78
  5. Step 5: Solve for x
    x = 161,589.78/544.51
  6. Step 6: Final answer
    x = 296.76

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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.