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Finding the Fourth Proportional to 464.22, 640.27 and 324.29

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Solution

The fourth proportional to 464.22, 640.27 and 324.29 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 640.27 = 324.29 : x
  2. Step 2: Convert to fraction form
    464.22/640.27 = 324.29/x
  3. Step 3: Cross multiply
    464.22x = 640.27 × 324.29
  4. Step 4: Simplify right side
    464.22x = 207,633.16
  5. Step 5: Solve for x
    x = 207,633.16/464.22
  6. Step 6: Final answer
    x = 447.27

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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.