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Finding the Fourth Proportional to 286.07, 396.73 and 268.25

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Solution

The fourth proportional to 286.07, 396.73 and 268.25 is: 372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.07 : 396.73 = 268.25 : x
  2. Step 2: Convert to fraction form
    286.07/396.73 = 268.25/x
  3. Step 3: Cross multiply
    286.07x = 396.73 × 268.25
  4. Step 4: Simplify right side
    286.07x = 106,421.17
  5. Step 5: Solve for x
    x = 106,421.17/286.07
  6. Step 6: Final answer
    x = 372.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.