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Finding the Fourth Proportional to 731.99, 1,097.21 and 361.28

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Solution

The fourth proportional to 731.99, 1,097.21 and 361.28 is: 541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.99 : 1,097.21 = 361.28 : x
  2. Step 2: Convert to fraction form
    731.99/1,097.21 = 361.28/x
  3. Step 3: Cross multiply
    731.99x = 1,097.21 × 361.28
  4. Step 4: Simplify right side
    731.99x = 396,392.74
  5. Step 5: Solve for x
    x = 396,392.74/731.99
  6. Step 6: Final answer
    x = 541.53

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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.