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Finding the Fourth Proportional to 333.18, 461.88 and 326.48

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Solution

The fourth proportional to 333.18, 461.88 and 326.48 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.18 : 461.88 = 326.48 : x
  2. Step 2: Convert to fraction form
    333.18/461.88 = 326.48/x
  3. Step 3: Cross multiply
    333.18x = 461.88 × 326.48
  4. Step 4: Simplify right side
    333.18x = 150,792.27
  5. Step 5: Solve for x
    x = 150,792.27/333.18
  6. Step 6: Final answer
    x = 452.59

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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.