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Finding the Fourth Proportional to 334.14, 457.79 and 321.68

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Solution

The fourth proportional to 334.14, 457.79 and 321.68 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 457.79 = 321.68 : x
  2. Step 2: Convert to fraction form
    334.14/457.79 = 321.68/x
  3. Step 3: Cross multiply
    334.14x = 457.79 × 321.68
  4. Step 4: Simplify right side
    334.14x = 147,257.99
  5. Step 5: Solve for x
    x = 147,257.99/334.14
  6. Step 6: Final answer
    x = 440.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.