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Finding the Fourth Proportional to 297.36, 443.34 and 273.24

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Solution

The fourth proportional to 297.36, 443.34 and 273.24 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 443.34 = 273.24 : x
  2. Step 2: Convert to fraction form
    297.36/443.34 = 273.24/x
  3. Step 3: Cross multiply
    297.36x = 443.34 × 273.24
  4. Step 4: Simplify right side
    297.36x = 121,138.22
  5. Step 5: Solve for x
    x = 121,138.22/297.36
  6. Step 6: Final answer
    x = 407.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.