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Finding the Fourth Proportional to 598.98, 826.50 and 336.94

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Solution

The fourth proportional to 598.98, 826.50 and 336.94 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.98 : 826.50 = 336.94 : x
  2. Step 2: Convert to fraction form
    598.98/826.50 = 336.94/x
  3. Step 3: Cross multiply
    598.98x = 826.50 × 336.94
  4. Step 4: Simplify right side
    598.98x = 278,480.68
  5. Step 5: Solve for x
    x = 278,480.68/598.98
  6. Step 6: Final answer
    x = 464.93

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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.