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Finding the Fourth Proportional to 599.23, 826.93 and 333.69

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Solution

The fourth proportional to 599.23, 826.93 and 333.69 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.23 : 826.93 = 333.69 : x
  2. Step 2: Convert to fraction form
    599.23/826.93 = 333.69/x
  3. Step 3: Cross multiply
    599.23x = 826.93 × 333.69
  4. Step 4: Simplify right side
    599.23x = 275,938.27
  5. Step 5: Solve for x
    x = 275,938.27/599.23
  6. Step 6: Final answer
    x = 460.49

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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.