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Finding the Fourth Proportional to 599.07, 826.74 and 333.53

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Solution

The fourth proportional to 599.07, 826.74 and 333.53 is: 460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 826.74 = 333.53 : x
  2. Step 2: Convert to fraction form
    599.07/826.74 = 333.53/x
  3. Step 3: Cross multiply
    599.07x = 826.74 × 333.53
  4. Step 4: Simplify right side
    599.07x = 275,738.46
  5. Step 5: Solve for x
    x = 275,738.46/599.07
  6. Step 6: Final answer
    x = 460.28

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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.