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Finding the Fourth Proportional to 528.04, 791.87 and 181.28

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Solution

The fourth proportional to 528.04, 791.87 and 181.28 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.04 : 791.87 = 181.28 : x
  2. Step 2: Convert to fraction form
    528.04/791.87 = 181.28/x
  3. Step 3: Cross multiply
    528.04x = 791.87 × 181.28
  4. Step 4: Simplify right side
    528.04x = 143,545.33
  5. Step 5: Solve for x
    x = 143,545.33/528.04
  6. Step 6: Final answer
    x = 271.85

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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.