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Finding the Fourth Proportional to 286.67, 395.75 and 224.35

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Solution

The fourth proportional to 286.67, 395.75 and 224.35 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.67 : 395.75 = 224.35 : x
  2. Step 2: Convert to fraction form
    286.67/395.75 = 224.35/x
  3. Step 3: Cross multiply
    286.67x = 395.75 × 224.35
  4. Step 4: Simplify right side
    286.67x = 88,786.51
  5. Step 5: Solve for x
    x = 88,786.51/286.67
  6. Step 6: Final answer
    x = 309.72

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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.