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Finding the Fourth Proportional to 361.24, 541.69 and 245.71

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Solution

The fourth proportional to 361.24, 541.69 and 245.71 is: 368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 541.69 = 245.71 : x
  2. Step 2: Convert to fraction form
    361.24/541.69 = 245.71/x
  3. Step 3: Cross multiply
    361.24x = 541.69 × 245.71
  4. Step 4: Simplify right side
    361.24x = 133,097.30
  5. Step 5: Solve for x
    x = 133,097.30/361.24
  6. Step 6: Final answer
    x = 368.45

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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.