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Finding the Fourth Proportional to 323.09, 486.53 and 232.43

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Solution

The fourth proportional to 323.09, 486.53 and 232.43 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.09 : 486.53 = 232.43 : x
  2. Step 2: Convert to fraction form
    323.09/486.53 = 232.43/x
  3. Step 3: Cross multiply
    323.09x = 486.53 × 232.43
  4. Step 4: Simplify right side
    323.09x = 113,082.32
  5. Step 5: Solve for x
    x = 113,082.32/323.09
  6. Step 6: Final answer
    x = 350.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.