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Finding the Fourth Proportional to 361.53, 495.66 and 354.97

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Solution

The fourth proportional to 361.53, 495.66 and 354.97 is: 486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.53 : 495.66 = 354.97 : x
  2. Step 2: Convert to fraction form
    361.53/495.66 = 354.97/x
  3. Step 3: Cross multiply
    361.53x = 495.66 × 354.97
  4. Step 4: Simplify right side
    361.53x = 175,942.59
  5. Step 5: Solve for x
    x = 175,942.59/361.53
  6. Step 6: Final answer
    x = 486.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.