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Finding the Fourth Proportional to 599.42, 827 and 363.29

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Solution

The fourth proportional to 599.42, 827 and 363.29 is: 501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.42 : 827 = 363.29 : x
  2. Step 2: Convert to fraction form
    599.42/827 = 363.29/x
  3. Step 3: Cross multiply
    599.42x = 827 × 363.29
  4. Step 4: Simplify right side
    599.42x = 300,440.83
  5. Step 5: Solve for x
    x = 300,440.83/599.42
  6. Step 6: Final answer
    x = 501.22

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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.