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Finding the Fourth Proportional to 527.52, 791.30 and 198.56

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Solution

The fourth proportional to 527.52, 791.30 and 198.56 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 791.30 = 198.56 : x
  2. Step 2: Convert to fraction form
    527.52/791.30 = 198.56/x
  3. Step 3: Cross multiply
    527.52x = 791.30 × 198.56
  4. Step 4: Simplify right side
    527.52x = 157,120.53
  5. Step 5: Solve for x
    x = 157,120.53/527.52
  6. Step 6: Final answer
    x = 297.85

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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.