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Finding the Fourth Proportional to 599.64, 827.91 and 442.29

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Solution

The fourth proportional to 599.64, 827.91 and 442.29 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 827.91 = 442.29 : x
  2. Step 2: Convert to fraction form
    599.64/827.91 = 442.29/x
  3. Step 3: Cross multiply
    599.64x = 827.91 × 442.29
  4. Step 4: Simplify right side
    599.64x = 366,176.31
  5. Step 5: Solve for x
    x = 366,176.31/599.64
  6. Step 6: Final answer
    x = 610.66

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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.