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Finding the Fourth Proportional to 273.07, 409.25 and 244.01

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Solution

The fourth proportional to 273.07, 409.25 and 244.01 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 409.25 = 244.01 : x
  2. Step 2: Convert to fraction form
    273.07/409.25 = 244.01/x
  3. Step 3: Cross multiply
    273.07x = 409.25 × 244.01
  4. Step 4: Simplify right side
    273.07x = 99,862.73
  5. Step 5: Solve for x
    x = 99,862.73/273.07
  6. Step 6: Final answer
    x = 365.70

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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.