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Finding the Fourth Proportional to 286.78, 395.40 and 224.41

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Solution

The fourth proportional to 286.78, 395.40 and 224.41 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.78 : 395.40 = 224.41 : x
  2. Step 2: Convert to fraction form
    286.78/395.40 = 224.41/x
  3. Step 3: Cross multiply
    286.78x = 395.40 × 224.41
  4. Step 4: Simplify right side
    286.78x = 88,731.71
  5. Step 5: Solve for x
    x = 88,731.71/286.78
  6. Step 6: Final answer
    x = 309.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.