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Finding the Fourth Proportional to 599.50, 827.14 and 363.58

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Solution

The fourth proportional to 599.50, 827.14 and 363.58 is: 501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.50 : 827.14 = 363.58 : x
  2. Step 2: Convert to fraction form
    599.50/827.14 = 363.58/x
  3. Step 3: Cross multiply
    599.50x = 827.14 × 363.58
  4. Step 4: Simplify right side
    599.50x = 300,731.56
  5. Step 5: Solve for x
    x = 300,731.56/599.50
  6. Step 6: Final answer
    x = 501.64

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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.