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Finding the Fourth Proportional to 427.73, 641.78 and 254.74

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Solution

The fourth proportional to 427.73, 641.78 and 254.74 is: 382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.73 : 641.78 = 254.74 : x
  2. Step 2: Convert to fraction form
    427.73/641.78 = 254.74/x
  3. Step 3: Cross multiply
    427.73x = 641.78 × 254.74
  4. Step 4: Simplify right side
    427.73x = 163,482.55
  5. Step 5: Solve for x
    x = 163,482.55/427.73
  6. Step 6: Final answer
    x = 382.21

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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.