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Finding the Fourth Proportional to 299.30, 412.97 and 210.80

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Solution

The fourth proportional to 299.30, 412.97 and 210.80 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 412.97 = 210.80 : x
  2. Step 2: Convert to fraction form
    299.30/412.97 = 210.80/x
  3. Step 3: Cross multiply
    299.30x = 412.97 × 210.80
  4. Step 4: Simplify right side
    299.30x = 87,054.05
  5. Step 5: Solve for x
    x = 87,054.05/299.30
  6. Step 6: Final answer
    x = 290.86

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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.