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Finding the Fourth Proportional to 726.58, 1,090.68 and 361.27

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Solution

The fourth proportional to 726.58, 1,090.68 and 361.27 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.58 : 1,090.68 = 361.27 : x
  2. Step 2: Convert to fraction form
    726.58/1,090.68 = 361.27/x
  3. Step 3: Cross multiply
    726.58x = 1,090.68 × 361.27
  4. Step 4: Simplify right side
    726.58x = 394,022.70
  5. Step 5: Solve for x
    x = 394,022.70/726.58
  6. Step 6: Final answer
    x = 542.30

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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.