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Finding the Fourth Proportional to 395.26, 546.16 and 326.14

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Solution

The fourth proportional to 395.26, 546.16 and 326.14 is: 450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.26 : 546.16 = 326.14 : x
  2. Step 2: Convert to fraction form
    395.26/546.16 = 326.14/x
  3. Step 3: Cross multiply
    395.26x = 546.16 × 326.14
  4. Step 4: Simplify right side
    395.26x = 178,124.62
  5. Step 5: Solve for x
    x = 178,124.62/395.26
  6. Step 6: Final answer
    x = 450.65

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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.