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Finding the Fourth Proportional to 527.82, 791.79 and 219.89

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Solution

The fourth proportional to 527.82, 791.79 and 219.89 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 791.79 = 219.89 : x
  2. Step 2: Convert to fraction form
    527.82/791.79 = 219.89/x
  3. Step 3: Cross multiply
    527.82x = 791.79 × 219.89
  4. Step 4: Simplify right side
    527.82x = 174,102.74
  5. Step 5: Solve for x
    x = 174,102.74/527.82
  6. Step 6: Final answer
    x = 329.85

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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.