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Finding the Fourth Proportional to 536.82, 806.44 and 320.54

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Solution

The fourth proportional to 536.82, 806.44 and 320.54 is: 481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 806.44 = 320.54 : x
  2. Step 2: Convert to fraction form
    536.82/806.44 = 320.54/x
  3. Step 3: Cross multiply
    536.82x = 806.44 × 320.54
  4. Step 4: Simplify right side
    536.82x = 258,496.28
  5. Step 5: Solve for x
    x = 258,496.28/536.82
  6. Step 6: Final answer
    x = 481.53

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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.