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Finding the Fourth Proportional to 286.77, 395.55 and 224.46

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Solution

The fourth proportional to 286.77, 395.55 and 224.46 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 395.55 = 224.46 : x
  2. Step 2: Convert to fraction form
    286.77/395.55 = 224.46/x
  3. Step 3: Cross multiply
    286.77x = 395.55 × 224.46
  4. Step 4: Simplify right side
    286.77x = 88,785.15
  5. Step 5: Solve for x
    x = 88,785.15/286.77
  6. Step 6: Final answer
    x = 309.60

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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.