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Finding the Fourth Proportional to 274.23, 410.94 and 231.03

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Solution

The fourth proportional to 274.23, 410.94 and 231.03 is: 346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 410.94 = 231.03 : x
  2. Step 2: Convert to fraction form
    274.23/410.94 = 231.03/x
  3. Step 3: Cross multiply
    274.23x = 410.94 × 231.03
  4. Step 4: Simplify right side
    274.23x = 94,939.47
  5. Step 5: Solve for x
    x = 94,939.47/274.23
  6. Step 6: Final answer
    x = 346.20

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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.