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Finding the Fourth Proportional to 327.24, 487.89 and 302.92

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Solution

The fourth proportional to 327.24, 487.89 and 302.92 is: 451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.24 : 487.89 = 302.92 : x
  2. Step 2: Convert to fraction form
    327.24/487.89 = 302.92/x
  3. Step 3: Cross multiply
    327.24x = 487.89 × 302.92
  4. Step 4: Simplify right side
    327.24x = 147,791.64
  5. Step 5: Solve for x
    x = 147,791.64/327.24
  6. Step 6: Final answer
    x = 451.63

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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.