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Finding the Fourth Proportional to 599.08, 826.82 and 363.04

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Solution

The fourth proportional to 599.08, 826.82 and 363.04 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.08 : 826.82 = 363.04 : x
  2. Step 2: Convert to fraction form
    599.08/826.82 = 363.04/x
  3. Step 3: Cross multiply
    599.08x = 826.82 × 363.04
  4. Step 4: Simplify right side
    599.08x = 300,168.73
  5. Step 5: Solve for x
    x = 300,168.73/599.08
  6. Step 6: Final answer
    x = 501.05

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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.