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Finding the Fourth Proportional to 598.82, 826.34 and 336.87

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Solution

The fourth proportional to 598.82, 826.34 and 336.87 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.82 : 826.34 = 336.87 : x
  2. Step 2: Convert to fraction form
    598.82/826.34 = 336.87/x
  3. Step 3: Cross multiply
    598.82x = 826.34 × 336.87
  4. Step 4: Simplify right side
    598.82x = 278,367.47
  5. Step 5: Solve for x
    x = 278,367.47/598.82
  6. Step 6: Final answer
    x = 464.86

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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.