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Finding the Fourth Proportional to 527.62, 791.64 and 198.76

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Solution

The fourth proportional to 527.62, 791.64 and 198.76 is: 298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 791.64 = 198.76 : x
  2. Step 2: Convert to fraction form
    527.62/791.64 = 198.76/x
  3. Step 3: Cross multiply
    527.62x = 791.64 × 198.76
  4. Step 4: Simplify right side
    527.62x = 157,346.37
  5. Step 5: Solve for x
    x = 157,346.37/527.62
  6. Step 6: Final answer
    x = 298.22

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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.