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Finding the Fourth Proportional to 599.84, 828.12 and 378.98

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Solution

The fourth proportional to 599.84, 828.12 and 378.98 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 828.12 = 378.98 : x
  2. Step 2: Convert to fraction form
    599.84/828.12 = 378.98/x
  3. Step 3: Cross multiply
    599.84x = 828.12 × 378.98
  4. Step 4: Simplify right side
    599.84x = 313,840.92
  5. Step 5: Solve for x
    x = 313,840.92/599.84
  6. Step 6: Final answer
    x = 523.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.