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Finding the Fourth Proportional to 937.82, 1,405.18 and 321.18

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Solution

The fourth proportional to 937.82, 1,405.18 and 321.18 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.82 : 1,405.18 = 321.18 : x
  2. Step 2: Convert to fraction form
    937.82/1,405.18 = 321.18/x
  3. Step 3: Cross multiply
    937.82x = 1,405.18 × 321.18
  4. Step 4: Simplify right side
    937.82x = 451,323.60
  5. Step 5: Solve for x
    x = 451,323.60/937.82
  6. Step 6: Final answer
    x = 481.25

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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.