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Finding the Fourth Proportional to 598.78, 826.30 and 333.21

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Solution

The fourth proportional to 598.78, 826.30 and 333.21 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 826.30 = 333.21 : x
  2. Step 2: Convert to fraction form
    598.78/826.30 = 333.21/x
  3. Step 3: Cross multiply
    598.78x = 826.30 × 333.21
  4. Step 4: Simplify right side
    598.78x = 275,330.59
  5. Step 5: Solve for x
    x = 275,330.59/598.78
  6. Step 6: Final answer
    x = 459.82

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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.