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Finding the Fourth Proportional to 323.16, 446.04 and 235.68

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Solution

The fourth proportional to 323.16, 446.04 and 235.68 is: 325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 446.04 = 235.68 : x
  2. Step 2: Convert to fraction form
    323.16/446.04 = 235.68/x
  3. Step 3: Cross multiply
    323.16x = 446.04 × 235.68
  4. Step 4: Simplify right side
    323.16x = 105,122.71
  5. Step 5: Solve for x
    x = 105,122.71/323.16
  6. Step 6: Final answer
    x = 325.30

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