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Finding the Fourth Proportional to 598.90, 826.44 and 336.95

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Solution

The fourth proportional to 598.90, 826.44 and 336.95 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 826.44 = 336.95 : x
  2. Step 2: Convert to fraction form
    598.90/826.44 = 336.95/x
  3. Step 3: Cross multiply
    598.90x = 826.44 × 336.95
  4. Step 4: Simplify right side
    598.90x = 278,469.76
  5. Step 5: Solve for x
    x = 278,469.76/598.90
  6. Step 6: Final answer
    x = 464.97

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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.