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Finding the Fourth Proportional to 427.68, 640.98 and 254.61

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Solution

The fourth proportional to 427.68, 640.98 and 254.61 is: 381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.68 : 640.98 = 254.61 : x
  2. Step 2: Convert to fraction form
    427.68/640.98 = 254.61/x
  3. Step 3: Cross multiply
    427.68x = 640.98 × 254.61
  4. Step 4: Simplify right side
    427.68x = 163,199.92
  5. Step 5: Solve for x
    x = 163,199.92/427.68
  6. Step 6: Final answer
    x = 381.59

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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.