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Finding the Fourth Proportional to 599.70, 827.46 and 363.60

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Solution

The fourth proportional to 599.70, 827.46 and 363.60 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 827.46 = 363.60 : x
  2. Step 2: Convert to fraction form
    599.70/827.46 = 363.60/x
  3. Step 3: Cross multiply
    599.70x = 827.46 × 363.60
  4. Step 4: Simplify right side
    599.70x = 300,864.46
  5. Step 5: Solve for x
    x = 300,864.46/599.70
  6. Step 6: Final answer
    x = 501.69

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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.