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Finding the Fourth Proportional to 427.74, 642.68 and 273.74

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Solution

The fourth proportional to 427.74, 642.68 and 273.74 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 642.68 = 273.74 : x
  2. Step 2: Convert to fraction form
    427.74/642.68 = 273.74/x
  3. Step 3: Cross multiply
    427.74x = 642.68 × 273.74
  4. Step 4: Simplify right side
    427.74x = 175,927.22
  5. Step 5: Solve for x
    x = 175,927.22/427.74
  6. Step 6: Final answer
    x = 411.29

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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.