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Finding the Fourth Proportional to 598.78, 826.32 and 333.23

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Solution

The fourth proportional to 598.78, 826.32 and 333.23 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 826.32 = 333.23 : x
  2. Step 2: Convert to fraction form
    598.78/826.32 = 333.23/x
  3. Step 3: Cross multiply
    598.78x = 826.32 × 333.23
  4. Step 4: Simplify right side
    598.78x = 275,350.48
  5. Step 5: Solve for x
    x = 275,350.48/598.78
  6. Step 6: Final answer
    x = 459.85

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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.