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Finding the Fourth Proportional to 599.65, 827.46 and 442.37

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Solution

The fourth proportional to 599.65, 827.46 and 442.37 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.65 : 827.46 = 442.37 : x
  2. Step 2: Convert to fraction form
    599.65/827.46 = 442.37/x
  3. Step 3: Cross multiply
    599.65x = 827.46 × 442.37
  4. Step 4: Simplify right side
    599.65x = 366,041.65
  5. Step 5: Solve for x
    x = 366,041.65/599.65
  6. Step 6: Final answer
    x = 610.43

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Why These Related Problems?

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