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Finding the Fourth Proportional to 287.36, 396.70 and 213.84

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Solution

The fourth proportional to 287.36, 396.70 and 213.84 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 396.70 = 213.84 : x
  2. Step 2: Convert to fraction form
    287.36/396.70 = 213.84/x
  3. Step 3: Cross multiply
    287.36x = 396.70 × 213.84
  4. Step 4: Simplify right side
    287.36x = 84,830.33
  5. Step 5: Solve for x
    x = 84,830.33/287.36
  6. Step 6: Final answer
    x = 295.21

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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.