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Finding the Fourth Proportional to 599.81, 828.05 and 378.99

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Solution

The fourth proportional to 599.81, 828.05 and 378.99 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 828.05 = 378.99 : x
  2. Step 2: Convert to fraction form
    599.81/828.05 = 378.99/x
  3. Step 3: Cross multiply
    599.81x = 828.05 × 378.99
  4. Step 4: Simplify right side
    599.81x = 313,820.77
  5. Step 5: Solve for x
    x = 313,820.77/599.81
  6. Step 6: Final answer
    x = 523.20

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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.