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Finding the Fourth Proportional to 363.84, 541.44 and 361.60

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Solution

The fourth proportional to 363.84, 541.44 and 361.60 is: 538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 541.44 = 361.60 : x
  2. Step 2: Convert to fraction form
    363.84/541.44 = 361.60/x
  3. Step 3: Cross multiply
    363.84x = 541.44 × 361.60
  4. Step 4: Simplify right side
    363.84x = 195,784.70
  5. Step 5: Solve for x
    x = 195,784.70/363.84
  6. Step 6: Final answer
    x = 538.11

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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.