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Finding the Fourth Proportional to 663.57, 995.10 and 273.33

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Solution

The fourth proportional to 663.57, 995.10 and 273.33 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 995.10 = 273.33 : x
  2. Step 2: Convert to fraction form
    663.57/995.10 = 273.33/x
  3. Step 3: Cross multiply
    663.57x = 995.10 × 273.33
  4. Step 4: Simplify right side
    663.57x = 271,990.68
  5. Step 5: Solve for x
    x = 271,990.68/663.57
  6. Step 6: Final answer
    x = 409.89

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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.