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Finding the Fourth Proportional to 334.67, 460.49 and 326.57

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Solution

The fourth proportional to 334.67, 460.49 and 326.57 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.67 : 460.49 = 326.57 : x
  2. Step 2: Convert to fraction form
    334.67/460.49 = 326.57/x
  3. Step 3: Cross multiply
    334.67x = 460.49 × 326.57
  4. Step 4: Simplify right side
    334.67x = 150,378.28
  5. Step 5: Solve for x
    x = 150,378.28/334.67
  6. Step 6: Final answer
    x = 449.34

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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.