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Finding the Fourth Proportional to 296.62, 409.38 and 213.64

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Solution

The fourth proportional to 296.62, 409.38 and 213.64 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.62 : 409.38 = 213.64 : x
  2. Step 2: Convert to fraction form
    296.62/409.38 = 213.64/x
  3. Step 3: Cross multiply
    296.62x = 409.38 × 213.64
  4. Step 4: Simplify right side
    296.62x = 87,459.94
  5. Step 5: Solve for x
    x = 87,459.94/296.62
  6. Step 6: Final answer
    x = 294.86

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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.