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Finding the Fourth Proportional to 274.28, 410.42 and 236.21

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Solution

The fourth proportional to 274.28, 410.42 and 236.21 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 410.42 = 236.21 : x
  2. Step 2: Convert to fraction form
    274.28/410.42 = 236.21/x
  3. Step 3: Cross multiply
    274.28x = 410.42 × 236.21
  4. Step 4: Simplify right side
    274.28x = 96,942.08
  5. Step 5: Solve for x
    x = 96,942.08/274.28
  6. Step 6: Final answer
    x = 353.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.