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Finding the Fourth Proportional to 361.87, 541.89 and 253.13

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Solution

The fourth proportional to 361.87, 541.89 and 253.13 is: 379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.87 : 541.89 = 253.13 : x
  2. Step 2: Convert to fraction form
    361.87/541.89 = 253.13/x
  3. Step 3: Cross multiply
    361.87x = 541.89 × 253.13
  4. Step 4: Simplify right side
    361.87x = 137,165.91
  5. Step 5: Solve for x
    x = 137,165.91/361.87
  6. Step 6: Final answer
    x = 379.05

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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.