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Finding the Fourth Proportional to 408.98, 564.27 and 325.96

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Solution

The fourth proportional to 408.98, 564.27 and 325.96 is: 449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 564.27 = 325.96 : x
  2. Step 2: Convert to fraction form
    408.98/564.27 = 325.96/x
  3. Step 3: Cross multiply
    408.98x = 564.27 × 325.96
  4. Step 4: Simplify right side
    408.98x = 183,926.82
  5. Step 5: Solve for x
    x = 183,926.82/408.98
  6. Step 6: Final answer
    x = 449.72

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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.