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Finding the Fourth Proportional to 598.67, 826.09 and 333.05

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Solution

The fourth proportional to 598.67, 826.09 and 333.05 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 826.09 = 333.05 : x
  2. Step 2: Convert to fraction form
    598.67/826.09 = 333.05/x
  3. Step 3: Cross multiply
    598.67x = 826.09 × 333.05
  4. Step 4: Simplify right side
    598.67x = 275,129.27
  5. Step 5: Solve for x
    x = 275,129.27/598.67
  6. Step 6: Final answer
    x = 459.57

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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.