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Finding the Fourth Proportional to 580.97, 871.92 and 303.49

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Solution

The fourth proportional to 580.97, 871.92 and 303.49 is: 455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.97 : 871.92 = 303.49 : x
  2. Step 2: Convert to fraction form
    580.97/871.92 = 303.49/x
  3. Step 3: Cross multiply
    580.97x = 871.92 × 303.49
  4. Step 4: Simplify right side
    580.97x = 264,620.09
  5. Step 5: Solve for x
    x = 264,620.09/580.97
  6. Step 6: Final answer
    x = 455.48

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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.