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Finding the Fourth Proportional to 496.56, 684.60 and 321.84

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Solution

The fourth proportional to 496.56, 684.60 and 321.84 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 684.60 = 321.84 : x
  2. Step 2: Convert to fraction form
    496.56/684.60 = 321.84/x
  3. Step 3: Cross multiply
    496.56x = 684.60 × 321.84
  4. Step 4: Simplify right side
    496.56x = 220,331.66
  5. Step 5: Solve for x
    x = 220,331.66/496.56
  6. Step 6: Final answer
    x = 443.72

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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.