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Finding the Fourth Proportional to 494.38, 741.08 and 321.16

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Solution

The fourth proportional to 494.38, 741.08 and 321.16 is: 481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.38 : 741.08 = 321.16 : x
  2. Step 2: Convert to fraction form
    494.38/741.08 = 321.16/x
  3. Step 3: Cross multiply
    494.38x = 741.08 × 321.16
  4. Step 4: Simplify right side
    494.38x = 238,003.65
  5. Step 5: Solve for x
    x = 238,003.65/494.38
  6. Step 6: Final answer
    x = 481.42

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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.