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Finding the Fourth Proportional to 286.76, 395.62 and 234.21

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Solution

The fourth proportional to 286.76, 395.62 and 234.21 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.76 : 395.62 = 234.21 : x
  2. Step 2: Convert to fraction form
    286.76/395.62 = 234.21/x
  3. Step 3: Cross multiply
    286.76x = 395.62 × 234.21
  4. Step 4: Simplify right side
    286.76x = 92,658.16
  5. Step 5: Solve for x
    x = 92,658.16/286.76
  6. Step 6: Final answer
    x = 323.12

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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.