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Finding the Fourth Proportional to 394.91, 544.98 and 229.22

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Solution

The fourth proportional to 394.91, 544.98 and 229.22 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.91 : 544.98 = 229.22 : x
  2. Step 2: Convert to fraction form
    394.91/544.98 = 229.22/x
  3. Step 3: Cross multiply
    394.91x = 544.98 × 229.22
  4. Step 4: Simplify right side
    394.91x = 124,921.68
  5. Step 5: Solve for x
    x = 124,921.68/394.91
  6. Step 6: Final answer
    x = 316.33

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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.