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Finding the Fourth Proportional to 287.03, 396.20 and 213.59

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Solution

The fourth proportional to 287.03, 396.20 and 213.59 is: 294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.03 : 396.20 = 213.59 : x
  2. Step 2: Convert to fraction form
    287.03/396.20 = 213.59/x
  3. Step 3: Cross multiply
    287.03x = 396.20 × 213.59
  4. Step 4: Simplify right side
    287.03x = 84,624.36
  5. Step 5: Solve for x
    x = 84,624.36/287.03
  6. Step 6: Final answer
    x = 294.83

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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.