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Finding the Fourth Proportional to 394.11, 543.74 and 228.27

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Solution

The fourth proportional to 394.11, 543.74 and 228.27 is: 314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.11 : 543.74 = 228.27 : x
  2. Step 2: Convert to fraction form
    394.11/543.74 = 228.27/x
  3. Step 3: Cross multiply
    394.11x = 543.74 × 228.27
  4. Step 4: Simplify right side
    394.11x = 124,119.53
  5. Step 5: Solve for x
    x = 124,119.53/394.11
  6. Step 6: Final answer
    x = 314.94

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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.