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Finding the Fourth Proportional to 823.46, 1,235.18 and 378.68

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Solution

The fourth proportional to 823.46, 1,235.18 and 378.68 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.46 : 1,235.18 = 378.68 : x
  2. Step 2: Convert to fraction form
    823.46/1,235.18 = 378.68/x
  3. Step 3: Cross multiply
    823.46x = 1,235.18 × 378.68
  4. Step 4: Simplify right side
    823.46x = 467,732.73
  5. Step 5: Solve for x
    x = 467,732.73/823.46
  6. Step 6: Final answer
    x = 568.01

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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.