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Finding the Fourth Proportional to 286.97, 431.10 and 248.04

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Solution

The fourth proportional to 286.97, 431.10 and 248.04 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 431.10 = 248.04 : x
  2. Step 2: Convert to fraction form
    286.97/431.10 = 248.04/x
  3. Step 3: Cross multiply
    286.97x = 431.10 × 248.04
  4. Step 4: Simplify right side
    286.97x = 106,928.13
  5. Step 5: Solve for x
    x = 106,928.13/286.97
  6. Step 6: Final answer
    x = 372.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.