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Finding the Fourth Proportional to 361.00, 540.68 and 253.27

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Solution

The fourth proportional to 361.00, 540.68 and 253.27 is: 379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.00 : 540.68 = 253.27 : x
  2. Step 2: Convert to fraction form
    361.00/540.68 = 253.27/x
  3. Step 3: Cross multiply
    361.00x = 540.68 × 253.27
  4. Step 4: Simplify right side
    361.00x = 136,937.31
  5. Step 5: Solve for x
    x = 136,937.31/361.00
  6. Step 6: Final answer
    x = 379.33

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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.