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Finding the Fourth Proportional to 323.16, 446.41 and 257.58

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Solution

The fourth proportional to 323.16, 446.41 and 257.58 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 446.41 = 257.58 : x
  2. Step 2: Convert to fraction form
    323.16/446.41 = 257.58/x
  3. Step 3: Cross multiply
    323.16x = 446.41 × 257.58
  4. Step 4: Simplify right side
    323.16x = 114,986.29
  5. Step 5: Solve for x
    x = 114,986.29/323.16
  6. Step 6: Final answer
    x = 355.82

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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.