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Finding the Fourth Proportional to 599.70, 825.48 and 452.28

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Solution

The fourth proportional to 599.70, 825.48 and 452.28 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 825.48 = 452.28 : x
  2. Step 2: Convert to fraction form
    599.70/825.48 = 452.28/x
  3. Step 3: Cross multiply
    599.70x = 825.48 × 452.28
  4. Step 4: Simplify right side
    599.70x = 373,348.09
  5. Step 5: Solve for x
    x = 373,348.09/599.70
  6. Step 6: Final answer
    x = 622.56

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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.