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Finding the Fourth Proportional to 348.31, 481.57 and 333.01

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Solution

The fourth proportional to 348.31, 481.57 and 333.01 is: 460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.31 : 481.57 = 333.01 : x
  2. Step 2: Convert to fraction form
    348.31/481.57 = 333.01/x
  3. Step 3: Cross multiply
    348.31x = 481.57 × 333.01
  4. Step 4: Simplify right side
    348.31x = 160,367.63
  5. Step 5: Solve for x
    x = 160,367.63/348.31
  6. Step 6: Final answer
    x = 460.42

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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.