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Finding the Fourth Proportional to 528.46, 791.90 and 203.44

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Solution

The fourth proportional to 528.46, 791.90 and 203.44 is: 304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.46 : 791.90 = 203.44 : x
  2. Step 2: Convert to fraction form
    528.46/791.90 = 203.44/x
  3. Step 3: Cross multiply
    528.46x = 791.90 × 203.44
  4. Step 4: Simplify right side
    528.46x = 161,104.14
  5. Step 5: Solve for x
    x = 161,104.14/528.46
  6. Step 6: Final answer
    x = 304.86

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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.