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Finding the Fourth Proportional to 277.23, 414.94 and 246.86

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Solution

The fourth proportional to 277.23, 414.94 and 246.86 is: 369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 414.94 = 246.86 : x
  2. Step 2: Convert to fraction form
    277.23/414.94 = 246.86/x
  3. Step 3: Cross multiply
    277.23x = 414.94 × 246.86
  4. Step 4: Simplify right side
    277.23x = 102,431.42
  5. Step 5: Solve for x
    x = 102,431.42/277.23
  6. Step 6: Final answer
    x = 369.48

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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.