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Finding the Fourth Proportional to 297.23, 444.96 and 273.87

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Solution

The fourth proportional to 297.23, 444.96 and 273.87 is: 410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 444.96 = 273.87 : x
  2. Step 2: Convert to fraction form
    297.23/444.96 = 273.87/x
  3. Step 3: Cross multiply
    297.23x = 444.96 × 273.87
  4. Step 4: Simplify right side
    297.23x = 121,861.20
  5. Step 5: Solve for x
    x = 121,861.20/297.23
  6. Step 6: Final answer
    x = 410.00

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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.