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Finding the Fourth Proportional to 394.46, 543.85 and 324.26

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Solution

The fourth proportional to 394.46, 543.85 and 324.26 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.46 : 543.85 = 324.26 : x
  2. Step 2: Convert to fraction form
    394.46/543.85 = 324.26/x
  3. Step 3: Cross multiply
    394.46x = 543.85 × 324.26
  4. Step 4: Simplify right side
    394.46x = 176,348.80
  5. Step 5: Solve for x
    x = 176,348.80/394.46
  6. Step 6: Final answer
    x = 447.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.