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Finding the Fourth Proportional to 299.01, 412.97 and 200.59

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Solution

The fourth proportional to 299.01, 412.97 and 200.59 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 412.97 = 200.59 : x
  2. Step 2: Convert to fraction form
    299.01/412.97 = 200.59/x
  3. Step 3: Cross multiply
    299.01x = 412.97 × 200.59
  4. Step 4: Simplify right side
    299.01x = 82,837.65
  5. Step 5: Solve for x
    x = 82,837.65/299.01
  6. Step 6: Final answer
    x = 277.04

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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.