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Finding the Fourth Proportional to 323.64, 485.90 and 232.92

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Solution

The fourth proportional to 323.64, 485.90 and 232.92 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 485.90 = 232.92 : x
  2. Step 2: Convert to fraction form
    323.64/485.90 = 232.92/x
  3. Step 3: Cross multiply
    323.64x = 485.90 × 232.92
  4. Step 4: Simplify right side
    323.64x = 113,175.83
  5. Step 5: Solve for x
    x = 113,175.83/323.64
  6. Step 6: Final answer
    x = 349.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.