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Finding the Fourth Proportional to 598.70, 826.21 and 333.15

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Solution

The fourth proportional to 598.70, 826.21 and 333.15 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 826.21 = 333.15 : x
  2. Step 2: Convert to fraction form
    598.70/826.21 = 333.15/x
  3. Step 3: Cross multiply
    598.70x = 826.21 × 333.15
  4. Step 4: Simplify right side
    598.70x = 275,251.86
  5. Step 5: Solve for x
    x = 275,251.86/598.70
  6. Step 6: Final answer
    x = 459.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.