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Finding the Fourth Proportional to 302.31, 452.72 and 273.09

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Solution

The fourth proportional to 302.31, 452.72 and 273.09 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.31 : 452.72 = 273.09 : x
  2. Step 2: Convert to fraction form
    302.31/452.72 = 273.09/x
  3. Step 3: Cross multiply
    302.31x = 452.72 × 273.09
  4. Step 4: Simplify right side
    302.31x = 123,633.99
  5. Step 5: Solve for x
    x = 123,633.99/302.31
  6. Step 6: Final answer
    x = 408.96

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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.