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Finding the Fourth Proportional to 323.58, 446.31 and 236.28

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Solution

The fourth proportional to 323.58, 446.31 and 236.28 is: 325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.58 : 446.31 = 236.28 : x
  2. Step 2: Convert to fraction form
    323.58/446.31 = 236.28/x
  3. Step 3: Cross multiply
    323.58x = 446.31 × 236.28
  4. Step 4: Simplify right side
    323.58x = 105,454.13
  5. Step 5: Solve for x
    x = 105,454.13/323.58
  6. Step 6: Final answer
    x = 325.90

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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.