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Finding the Fourth Proportional to 496.46, 685.26 and 321.77

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Solution

The fourth proportional to 496.46, 685.26 and 321.77 is: 444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.46 : 685.26 = 321.77 : x
  2. Step 2: Convert to fraction form
    496.46/685.26 = 321.77/x
  3. Step 3: Cross multiply
    496.46x = 685.26 × 321.77
  4. Step 4: Simplify right side
    496.46x = 220,492.68
  5. Step 5: Solve for x
    x = 220,492.68/496.46
  6. Step 6: Final answer
    x = 444.13

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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.