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Finding the Fourth Proportional to 323.32, 446 and 268.28

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Solution

The fourth proportional to 323.32, 446 and 268.28 is: 370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 446 = 268.28 : x
  2. Step 2: Convert to fraction form
    323.32/446 = 268.28/x
  3. Step 3: Cross multiply
    323.32x = 446 × 268.28
  4. Step 4: Simplify right side
    323.32x = 119,652.88
  5. Step 5: Solve for x
    x = 119,652.88/323.32
  6. Step 6: Final answer
    x = 370.08

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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.