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Finding the Fourth Proportional to 538.32, 806.56 and 321.60

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Solution

The fourth proportional to 538.32, 806.56 and 321.60 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.32 : 806.56 = 321.60 : x
  2. Step 2: Convert to fraction form
    538.32/806.56 = 321.60/x
  3. Step 3: Cross multiply
    538.32x = 806.56 × 321.60
  4. Step 4: Simplify right side
    538.32x = 259,389.70
  5. Step 5: Solve for x
    x = 259,389.70/538.32
  6. Step 6: Final answer
    x = 481.85

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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.