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Finding the Fourth Proportional to 321.28, 442.81 and 274.65

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Solution

The fourth proportional to 321.28, 442.81 and 274.65 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.28 : 442.81 = 274.65 : x
  2. Step 2: Convert to fraction form
    321.28/442.81 = 274.65/x
  3. Step 3: Cross multiply
    321.28x = 442.81 × 274.65
  4. Step 4: Simplify right side
    321.28x = 121,617.77
  5. Step 5: Solve for x
    x = 121,617.77/321.28
  6. Step 6: Final answer
    x = 378.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.