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Finding the Fourth Proportional to 823.53, 1,235.36 and 276.09

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Solution

The fourth proportional to 823.53, 1,235.36 and 276.09 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.53 : 1,235.36 = 276.09 : x
  2. Step 2: Convert to fraction form
    823.53/1,235.36 = 276.09/x
  3. Step 3: Cross multiply
    823.53x = 1,235.36 × 276.09
  4. Step 4: Simplify right side
    823.53x = 341,069.16
  5. Step 5: Solve for x
    x = 341,069.16/823.53
  6. Step 6: Final answer
    x = 414.16

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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.