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Finding the Fourth Proportional to 598.90, 826.44 and 333.32

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Solution

The fourth proportional to 598.90, 826.44 and 333.32 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 826.44 = 333.32 : x
  2. Step 2: Convert to fraction form
    598.90/826.44 = 333.32/x
  3. Step 3: Cross multiply
    598.90x = 826.44 × 333.32
  4. Step 4: Simplify right side
    598.90x = 275,468.98
  5. Step 5: Solve for x
    x = 275,468.98/598.90
  6. Step 6: Final answer
    x = 459.96

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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.