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Finding the Fourth Proportional to 361.44, 500.91 and 354.96

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Solution

The fourth proportional to 361.44, 500.91 and 354.96 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.44 : 500.91 = 354.96 : x
  2. Step 2: Convert to fraction form
    361.44/500.91 = 354.96/x
  3. Step 3: Cross multiply
    361.44x = 500.91 × 354.96
  4. Step 4: Simplify right side
    361.44x = 177,803.01
  5. Step 5: Solve for x
    x = 177,803.01/361.44
  6. Step 6: Final answer
    x = 491.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.