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Finding the Fourth Proportional to 299.73, 449.85 and 209.07

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Solution

The fourth proportional to 299.73, 449.85 and 209.07 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.73 : 449.85 = 209.07 : x
  2. Step 2: Convert to fraction form
    299.73/449.85 = 209.07/x
  3. Step 3: Cross multiply
    299.73x = 449.85 × 209.07
  4. Step 4: Simplify right side
    299.73x = 94,050.14
  5. Step 5: Solve for x
    x = 94,050.14/299.73
  6. Step 6: Final answer
    x = 313.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.