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Finding the Fourth Proportional to 599.67, 827.18 and 363.45

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Solution

The fourth proportional to 599.67, 827.18 and 363.45 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 827.18 = 363.45 : x
  2. Step 2: Convert to fraction form
    599.67/827.18 = 363.45/x
  3. Step 3: Cross multiply
    599.67x = 827.18 × 363.45
  4. Step 4: Simplify right side
    599.67x = 300,638.57
  5. Step 5: Solve for x
    x = 300,638.57/599.67
  6. Step 6: Final answer
    x = 501.34

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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.