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Finding the Fourth Proportional to 598.70, 826.21 and 333.14

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Solution

The fourth proportional to 598.70, 826.21 and 333.14 is: 459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 826.21 = 333.14 : x
  2. Step 2: Convert to fraction form
    598.70/826.21 = 333.14/x
  3. Step 3: Cross multiply
    598.70x = 826.21 × 333.14
  4. Step 4: Simplify right side
    598.70x = 275,244.83
  5. Step 5: Solve for x
    x = 275,244.83/598.70
  6. Step 6: Final answer
    x = 459.74

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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.