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Finding the Fourth Proportional to 274.36, 376.37 and 257.80

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Solution

The fourth proportional to 274.36, 376.37 and 257.80 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 376.37 = 257.80 : x
  2. Step 2: Convert to fraction form
    274.36/376.37 = 257.80/x
  3. Step 3: Cross multiply
    274.36x = 376.37 × 257.80
  4. Step 4: Simplify right side
    274.36x = 97,028.19
  5. Step 5: Solve for x
    x = 97,028.19/274.36
  6. Step 6: Final answer
    x = 353.65

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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.