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Finding the Fourth Proportional to 277.89, 416.83 and 260.97

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Solution

The fourth proportional to 277.89, 416.83 and 260.97 is: 391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 416.83 = 260.97 : x
  2. Step 2: Convert to fraction form
    277.89/416.83 = 260.97/x
  3. Step 3: Cross multiply
    277.89x = 416.83 × 260.97
  4. Step 4: Simplify right side
    277.89x = 108,782.01
  5. Step 5: Solve for x
    x = 108,782.01/277.89
  6. Step 6: Final answer
    x = 391.46

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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.