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Finding the Fourth Proportional to 323.90, 446 and 245.34

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Solution

The fourth proportional to 323.90, 446 and 245.34 is: 337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.90 : 446 = 245.34 : x
  2. Step 2: Convert to fraction form
    323.90/446 = 245.34/x
  3. Step 3: Cross multiply
    323.90x = 446 × 245.34
  4. Step 4: Simplify right side
    323.90x = 109,421.64
  5. Step 5: Solve for x
    x = 109,421.64/323.90
  6. Step 6: Final answer
    x = 337.83

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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.