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Finding the Fourth Proportional to 408.81, 564.24 and 326.56

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Solution

The fourth proportional to 408.81, 564.24 and 326.56 is: 450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 564.24 = 326.56 : x
  2. Step 2: Convert to fraction form
    408.81/564.24 = 326.56/x
  3. Step 3: Cross multiply
    408.81x = 564.24 × 326.56
  4. Step 4: Simplify right side
    408.81x = 184,258.21
  5. Step 5: Solve for x
    x = 184,258.21/408.81
  6. Step 6: Final answer
    x = 450.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.