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Finding the Fourth Proportional to 332.91, 496.23 and 327.44

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Solution

The fourth proportional to 332.91, 496.23 and 327.44 is: 488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.91 : 496.23 = 327.44 : x
  2. Step 2: Convert to fraction form
    332.91/496.23 = 327.44/x
  3. Step 3: Cross multiply
    332.91x = 496.23 × 327.44
  4. Step 4: Simplify right side
    332.91x = 162,485.55
  5. Step 5: Solve for x
    x = 162,485.55/332.91
  6. Step 6: Final answer
    x = 488.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.