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Finding the Fourth Proportional to 527.65, 791.21 and 219.57

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Solution

The fourth proportional to 527.65, 791.21 and 219.57 is: 329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.65 : 791.21 = 219.57 : x
  2. Step 2: Convert to fraction form
    527.65/791.21 = 219.57/x
  3. Step 3: Cross multiply
    527.65x = 791.21 × 219.57
  4. Step 4: Simplify right side
    527.65x = 173,725.98
  5. Step 5: Solve for x
    x = 173,725.98/527.65
  6. Step 6: Final answer
    x = 329.24

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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.