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Finding the Fourth Proportional to 906.73, 1,359.18 and 321.47

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Solution

The fourth proportional to 906.73, 1,359.18 and 321.47 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,359.18 = 321.47 : x
  2. Step 2: Convert to fraction form
    906.73/1,359.18 = 321.47/x
  3. Step 3: Cross multiply
    906.73x = 1,359.18 × 321.47
  4. Step 4: Simplify right side
    906.73x = 436,933.90
  5. Step 5: Solve for x
    x = 436,933.90/906.73
  6. Step 6: Final answer
    x = 481.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.