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Finding the Fourth Proportional to 286.58, 394.74 and 242.27

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Solution

The fourth proportional to 286.58, 394.74 and 242.27 is: 333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.58 : 394.74 = 242.27 : x
  2. Step 2: Convert to fraction form
    286.58/394.74 = 242.27/x
  3. Step 3: Cross multiply
    286.58x = 394.74 × 242.27
  4. Step 4: Simplify right side
    286.58x = 95,632.29
  5. Step 5: Solve for x
    x = 95,632.29/286.58
  6. Step 6: Final answer
    x = 333.71

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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.