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Finding the Fourth Proportional to 333.96, 462.73 and 326.40

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Solution

The fourth proportional to 333.96, 462.73 and 326.40 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 462.73 = 326.40 : x
  2. Step 2: Convert to fraction form
    333.96/462.73 = 326.40/x
  3. Step 3: Cross multiply
    333.96x = 462.73 × 326.40
  4. Step 4: Simplify right side
    333.96x = 151,035.07
  5. Step 5: Solve for x
    x = 151,035.07/333.96
  6. Step 6: Final answer
    x = 452.25

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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.