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Finding the Fourth Proportional to 334.08, 462.89 and 326.52

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Solution

The fourth proportional to 334.08, 462.89 and 326.52 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 462.89 = 326.52 : x
  2. Step 2: Convert to fraction form
    334.08/462.89 = 326.52/x
  3. Step 3: Cross multiply
    334.08x = 462.89 × 326.52
  4. Step 4: Simplify right side
    334.08x = 151,143.66
  5. Step 5: Solve for x
    x = 151,143.66/334.08
  6. Step 6: Final answer
    x = 452.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.