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Finding the Fourth Proportional to 663.05, 994.69 and 273.26

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Solution

The fourth proportional to 663.05, 994.69 and 273.26 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.05 : 994.69 = 273.26 : x
  2. Step 2: Convert to fraction form
    663.05/994.69 = 273.26/x
  3. Step 3: Cross multiply
    663.05x = 994.69 × 273.26
  4. Step 4: Simplify right side
    663.05x = 271,808.99
  5. Step 5: Solve for x
    x = 271,808.99/663.05
  6. Step 6: Final answer
    x = 409.94

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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.