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Finding the Fourth Proportional to 323.60, 447.60 and 302.48

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Solution

The fourth proportional to 323.60, 447.60 and 302.48 is: 418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 447.60 = 302.48 : x
  2. Step 2: Convert to fraction form
    323.60/447.60 = 302.48/x
  3. Step 3: Cross multiply
    323.60x = 447.60 × 302.48
  4. Step 4: Simplify right side
    323.60x = 135,390.05
  5. Step 5: Solve for x
    x = 135,390.05/323.60
  6. Step 6: Final answer
    x = 418.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.