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Finding the Fourth Proportional to 527.89, 791.97 and 203.26

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Solution

The fourth proportional to 527.89, 791.97 and 203.26 is: 304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.89 : 791.97 = 203.26 : x
  2. Step 2: Convert to fraction form
    527.89/791.97 = 203.26/x
  3. Step 3: Cross multiply
    527.89x = 791.97 × 203.26
  4. Step 4: Simplify right side
    527.89x = 160,975.82
  5. Step 5: Solve for x
    x = 160,975.82/527.89
  6. Step 6: Final answer
    x = 304.94

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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.