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Finding the Fourth Proportional to 599.22, 826.74 and 363.06

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Solution

The fourth proportional to 599.22, 826.74 and 363.06 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 826.74 = 363.06 : x
  2. Step 2: Convert to fraction form
    599.22/826.74 = 363.06/x
  3. Step 3: Cross multiply
    599.22x = 826.74 × 363.06
  4. Step 4: Simplify right side
    599.22x = 300,156.22
  5. Step 5: Solve for x
    x = 300,156.22/599.22
  6. Step 6: Final answer
    x = 500.91

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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.