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Finding the Fourth Proportional to 599.94, 828.27 and 442.26

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Solution

The fourth proportional to 599.94, 828.27 and 442.26 is: 610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.94 : 828.27 = 442.26 : x
  2. Step 2: Convert to fraction form
    599.94/828.27 = 442.26/x
  3. Step 3: Cross multiply
    599.94x = 828.27 × 442.26
  4. Step 4: Simplify right side
    599.94x = 366,310.69
  5. Step 5: Solve for x
    x = 366,310.69/599.94
  6. Step 6: Final answer
    x = 610.58

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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.