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Finding the Fourth Proportional to 323.74, 446.28 and 245.04

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Solution

The fourth proportional to 323.74, 446.28 and 245.04 is: 337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.74 : 446.28 = 245.04 : x
  2. Step 2: Convert to fraction form
    323.74/446.28 = 245.04/x
  3. Step 3: Cross multiply
    323.74x = 446.28 × 245.04
  4. Step 4: Simplify right side
    323.74x = 109,356.45
  5. Step 5: Solve for x
    x = 109,356.45/323.74
  6. Step 6: Final answer
    x = 337.79

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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.