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Finding the Fourth Proportional to 490.36, 732.16 and 399.23

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Solution

The fourth proportional to 490.36, 732.16 and 399.23 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.36 : 732.16 = 399.23 : x
  2. Step 2: Convert to fraction form
    490.36/732.16 = 399.23/x
  3. Step 3: Cross multiply
    490.36x = 732.16 × 399.23
  4. Step 4: Simplify right side
    490.36x = 292,299.24
  5. Step 5: Solve for x
    x = 292,299.24/490.36
  6. Step 6: Final answer
    x = 596.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.