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Finding the Fourth Proportional to 599.22, 826.90 and 333.66

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Solution

The fourth proportional to 599.22, 826.90 and 333.66 is: 460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.22 : 826.90 = 333.66 : x
  2. Step 2: Convert to fraction form
    599.22/826.90 = 333.66/x
  3. Step 3: Cross multiply
    599.22x = 826.90 × 333.66
  4. Step 4: Simplify right side
    599.22x = 275,904.17
  5. Step 5: Solve for x
    x = 275,904.17/599.22
  6. Step 6: Final answer
    x = 460.44

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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.