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Finding the Fourth Proportional to 361.29, 538.10 and 338.82

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Solution

The fourth proportional to 361.29, 538.10 and 338.82 is: 504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.29 : 538.10 = 338.82 : x
  2. Step 2: Convert to fraction form
    361.29/538.10 = 338.82/x
  3. Step 3: Cross multiply
    361.29x = 538.10 × 338.82
  4. Step 4: Simplify right side
    361.29x = 182,319.04
  5. Step 5: Solve for x
    x = 182,319.04/361.29
  6. Step 6: Final answer
    x = 504.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.