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Finding the Fourth Proportional to 490.08, 732.40 and 326.40

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Solution

The fourth proportional to 490.08, 732.40 and 326.40 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 732.40 = 326.40 : x
  2. Step 2: Convert to fraction form
    490.08/732.40 = 326.40/x
  3. Step 3: Cross multiply
    490.08x = 732.40 × 326.40
  4. Step 4: Simplify right side
    490.08x = 239,055.36
  5. Step 5: Solve for x
    x = 239,055.36/490.08
  6. Step 6: Final answer
    x = 487.79

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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.