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Finding the Fourth Proportional to 299.35, 450.98 and 273.99

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Solution

The fourth proportional to 299.35, 450.98 and 273.99 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 450.98 = 273.99 : x
  2. Step 2: Convert to fraction form
    299.35/450.98 = 273.99/x
  3. Step 3: Cross multiply
    299.35x = 450.98 × 273.99
  4. Step 4: Simplify right side
    299.35x = 123,564.01
  5. Step 5: Solve for x
    x = 123,564.01/299.35
  6. Step 6: Final answer
    x = 412.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.