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Finding the Fourth Proportional to 527.16, 791.03 and 219.23

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Solution

The fourth proportional to 527.16, 791.03 and 219.23 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 791.03 = 219.23 : x
  2. Step 2: Convert to fraction form
    527.16/791.03 = 219.23/x
  3. Step 3: Cross multiply
    527.16x = 791.03 × 219.23
  4. Step 4: Simplify right side
    527.16x = 173,413.99
  5. Step 5: Solve for x
    x = 173,413.99/527.16
  6. Step 6: Final answer
    x = 328.96

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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.