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Finding the Fourth Proportional to 299.28, 412.24 and 211.80

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Solution

The fourth proportional to 299.28, 412.24 and 211.80 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 412.24 = 211.80 : x
  2. Step 2: Convert to fraction form
    299.28/412.24 = 211.80/x
  3. Step 3: Cross multiply
    299.28x = 412.24 × 211.80
  4. Step 4: Simplify right side
    299.28x = 87,312.43
  5. Step 5: Solve for x
    x = 87,312.43/299.28
  6. Step 6: Final answer
    x = 291.74

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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.