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Finding the Fourth Proportional to 274.30, 411.60 and 238.48

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Solution

The fourth proportional to 274.30, 411.60 and 238.48 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 411.60 = 238.48 : x
  2. Step 2: Convert to fraction form
    274.30/411.60 = 238.48/x
  3. Step 3: Cross multiply
    274.30x = 411.60 × 238.48
  4. Step 4: Simplify right side
    274.30x = 98,158.37
  5. Step 5: Solve for x
    x = 98,158.37/274.30
  6. Step 6: Final answer
    x = 357.85

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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.