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Finding the Fourth Proportional to 482.30, 664.96 and 324.71

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Solution

The fourth proportional to 482.30, 664.96 and 324.71 is: 447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 664.96 = 324.71 : x
  2. Step 2: Convert to fraction form
    482.30/664.96 = 324.71/x
  3. Step 3: Cross multiply
    482.30x = 664.96 × 324.71
  4. Step 4: Simplify right side
    482.30x = 215,918.13
  5. Step 5: Solve for x
    x = 215,918.13/482.30
  6. Step 6: Final answer
    x = 447.68

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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.