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Finding the Fourth Proportional to 361.92, 499.53 and 229.17

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Solution

The fourth proportional to 361.92, 499.53 and 229.17 is: 316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 499.53 = 229.17 : x
  2. Step 2: Convert to fraction form
    361.92/499.53 = 229.17/x
  3. Step 3: Cross multiply
    361.92x = 499.53 × 229.17
  4. Step 4: Simplify right side
    361.92x = 114,477.29
  5. Step 5: Solve for x
    x = 114,477.29/361.92
  6. Step 6: Final answer
    x = 316.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.