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Finding the Fourth Proportional to 527.54, 791.68 and 198.76

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Solution

The fourth proportional to 527.54, 791.68 and 198.76 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 791.68 = 198.76 : x
  2. Step 2: Convert to fraction form
    527.54/791.68 = 198.76/x
  3. Step 3: Cross multiply
    527.54x = 791.68 × 198.76
  4. Step 4: Simplify right side
    527.54x = 157,354.32
  5. Step 5: Solve for x
    x = 157,354.32/527.54
  6. Step 6: Final answer
    x = 298.28

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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.