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Finding the Fourth Proportional to 277.97, 418.41 and 253.36

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Solution

The fourth proportional to 277.97, 418.41 and 253.36 is: 381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 418.41 = 253.36 : x
  2. Step 2: Convert to fraction form
    277.97/418.41 = 253.36/x
  3. Step 3: Cross multiply
    277.97x = 418.41 × 253.36
  4. Step 4: Simplify right side
    277.97x = 106,008.88
  5. Step 5: Solve for x
    x = 106,008.88/277.97
  6. Step 6: Final answer
    x = 381.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.