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Finding the Fourth Proportional to 323.03, 445.32 and 212.47

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Solution

The fourth proportional to 323.03, 445.32 and 212.47 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.03 : 445.32 = 212.47 : x
  2. Step 2: Convert to fraction form
    323.03/445.32 = 212.47/x
  3. Step 3: Cross multiply
    323.03x = 445.32 × 212.47
  4. Step 4: Simplify right side
    323.03x = 94,617.14
  5. Step 5: Solve for x
    x = 94,617.14/323.03
  6. Step 6: Final answer
    x = 292.91

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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.