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Finding the Fourth Proportional to 323.45, 446.54 and 292.26

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Solution

The fourth proportional to 323.45, 446.54 and 292.26 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.45 : 446.54 = 292.26 : x
  2. Step 2: Convert to fraction form
    323.45/446.54 = 292.26/x
  3. Step 3: Cross multiply
    323.45x = 446.54 × 292.26
  4. Step 4: Simplify right side
    323.45x = 130,505.78
  5. Step 5: Solve for x
    x = 130,505.78/323.45
  6. Step 6: Final answer
    x = 403.48

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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.