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Finding the Fourth Proportional to 286.76, 394.06 and 228.44

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Solution

The fourth proportional to 286.76, 394.06 and 228.44 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.76 : 394.06 = 228.44 : x
  2. Step 2: Convert to fraction form
    286.76/394.06 = 228.44/x
  3. Step 3: Cross multiply
    286.76x = 394.06 × 228.44
  4. Step 4: Simplify right side
    286.76x = 90,019.07
  5. Step 5: Solve for x
    x = 90,019.07/286.76
  6. Step 6: Final answer
    x = 313.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.