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Finding the Fourth Proportional to 598.53, 826.02 and 336.59

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Solution

The fourth proportional to 598.53, 826.02 and 336.59 is: 464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 826.02 = 336.59 : x
  2. Step 2: Convert to fraction form
    598.53/826.02 = 336.59/x
  3. Step 3: Cross multiply
    598.53x = 826.02 × 336.59
  4. Step 4: Simplify right side
    598.53x = 278,025.94
  5. Step 5: Solve for x
    x = 278,025.94/598.53
  6. Step 6: Final answer
    x = 464.51

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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.