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Finding the Fourth Proportional to 496.34, 684.81 and 321.74

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Solution

The fourth proportional to 496.34, 684.81 and 321.74 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 684.81 = 321.74 : x
  2. Step 2: Convert to fraction form
    496.34/684.81 = 321.74/x
  3. Step 3: Cross multiply
    496.34x = 684.81 × 321.74
  4. Step 4: Simplify right side
    496.34x = 220,330.77
  5. Step 5: Solve for x
    x = 220,330.77/496.34
  6. Step 6: Final answer
    x = 443.91

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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.