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Finding the Fourth Proportional to 823.80, 1,236.52 and 361.90

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Solution

The fourth proportional to 823.80, 1,236.52 and 361.90 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,236.52 = 361.90 : x
  2. Step 2: Convert to fraction form
    823.80/1,236.52 = 361.90/x
  3. Step 3: Cross multiply
    823.80x = 1,236.52 × 361.90
  4. Step 4: Simplify right side
    823.80x = 447,496.59
  5. Step 5: Solve for x
    x = 447,496.59/823.80
  6. Step 6: Final answer
    x = 543.21

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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.