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Finding the Fourth Proportional to 393.26, 543.40 and 324.14

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Solution

The fourth proportional to 393.26, 543.40 and 324.14 is: 447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.26 : 543.40 = 324.14 : x
  2. Step 2: Convert to fraction form
    393.26/543.40 = 324.14/x
  3. Step 3: Cross multiply
    393.26x = 543.40 × 324.14
  4. Step 4: Simplify right side
    393.26x = 176,137.68
  5. Step 5: Solve for x
    x = 176,137.68/393.26
  6. Step 6: Final answer
    x = 447.89

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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.