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Finding the Fourth Proportional to 323.32, 446.00 and 211.13

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Solution

The fourth proportional to 323.32, 446.00 and 211.13 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 446.00 = 211.13 : x
  2. Step 2: Convert to fraction form
    323.32/446.00 = 211.13/x
  3. Step 3: Cross multiply
    323.32x = 446.00 × 211.13
  4. Step 4: Simplify right side
    323.32x = 94,165.62
  5. Step 5: Solve for x
    x = 94,165.62/323.32
  6. Step 6: Final answer
    x = 291.24

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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.