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Finding the Fourth Proportional to 254.58, 379.43 and 205.62

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Solution

The fourth proportional to 254.58, 379.43 and 205.62 is: 306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.58 : 379.43 = 205.62 : x
  2. Step 2: Convert to fraction form
    254.58/379.43 = 205.62/x
  3. Step 3: Cross multiply
    254.58x = 379.43 × 205.62
  4. Step 4: Simplify right side
    254.58x = 78,018.40
  5. Step 5: Solve for x
    x = 78,018.40/254.58
  6. Step 6: Final answer
    x = 306.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.