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Finding the Fourth Proportional to 277.89, 415.93 and 204.74

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Solution

The fourth proportional to 277.89, 415.93 and 204.74 is: 306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 415.93 = 204.74 : x
  2. Step 2: Convert to fraction form
    277.89/415.93 = 204.74/x
  3. Step 3: Cross multiply
    277.89x = 415.93 × 204.74
  4. Step 4: Simplify right side
    277.89x = 85,154.92
  5. Step 5: Solve for x
    x = 85,154.92/277.89
  6. Step 6: Final answer
    x = 306.43

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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.