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Finding the Fourth Proportional to 427.91, 642.14 and 273.95

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Solution

The fourth proportional to 427.91, 642.14 and 273.95 is: 411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.91 : 642.14 = 273.95 : x
  2. Step 2: Convert to fraction form
    427.91/642.14 = 273.95/x
  3. Step 3: Cross multiply
    427.91x = 642.14 × 273.95
  4. Step 4: Simplify right side
    427.91x = 175,914.25
  5. Step 5: Solve for x
    x = 175,914.25/427.91
  6. Step 6: Final answer
    x = 411.10

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