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Finding the Fourth Proportional to 329.37, 452.37 and 274.02

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Solution

The fourth proportional to 329.37, 452.37 and 274.02 is: 376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 452.37 = 274.02 : x
  2. Step 2: Convert to fraction form
    329.37/452.37 = 274.02/x
  3. Step 3: Cross multiply
    329.37x = 452.37 × 274.02
  4. Step 4: Simplify right side
    329.37x = 123,958.43
  5. Step 5: Solve for x
    x = 123,958.43/329.37
  6. Step 6: Final answer
    x = 376.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.