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Finding the Fourth Proportional to 394.25, 543.87 and 228.42

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Solution

The fourth proportional to 394.25, 543.87 and 228.42 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 543.87 = 228.42 : x
  2. Step 2: Convert to fraction form
    394.25/543.87 = 228.42/x
  3. Step 3: Cross multiply
    394.25x = 543.87 × 228.42
  4. Step 4: Simplify right side
    394.25x = 124,230.79
  5. Step 5: Solve for x
    x = 124,230.79/394.25
  6. Step 6: Final answer
    x = 315.11

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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.