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Finding the Fourth Proportional to 394.56, 543.72 and 324.28

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Solution

The fourth proportional to 394.56, 543.72 and 324.28 is: 446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 543.72 = 324.28 : x
  2. Step 2: Convert to fraction form
    394.56/543.72 = 324.28/x
  3. Step 3: Cross multiply
    394.56x = 543.72 × 324.28
  4. Step 4: Simplify right side
    394.56x = 176,317.52
  5. Step 5: Solve for x
    x = 176,317.52/394.56
  6. Step 6: Final answer
    x = 446.87

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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.