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Finding the Fourth Proportional to 323.28, 445.47 and 302.42

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Solution

The fourth proportional to 323.28, 445.47 and 302.42 is: 416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.28 : 445.47 = 302.42 : x
  2. Step 2: Convert to fraction form
    323.28/445.47 = 302.42/x
  3. Step 3: Cross multiply
    323.28x = 445.47 × 302.42
  4. Step 4: Simplify right side
    323.28x = 134,716.81
  5. Step 5: Solve for x
    x = 134,716.81/323.28
  6. Step 6: Final answer
    x = 416.72

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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.