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Finding the Fourth Proportional to 361.30, 541.95 and 275.71

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Solution

The fourth proportional to 361.30, 541.95 and 275.71 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 541.95 = 275.71 : x
  2. Step 2: Convert to fraction form
    361.30/541.95 = 275.71/x
  3. Step 3: Cross multiply
    361.30x = 541.95 × 275.71
  4. Step 4: Simplify right side
    361.30x = 149,421.03
  5. Step 5: Solve for x
    x = 149,421.03/361.30
  6. Step 6: Final answer
    x = 413.57

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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.