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Finding the Fourth Proportional to 598.54, 826.04 and 336.56

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Solution

The fourth proportional to 598.54, 826.04 and 336.56 is: 464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 826.04 = 336.56 : x
  2. Step 2: Convert to fraction form
    598.54/826.04 = 336.56/x
  3. Step 3: Cross multiply
    598.54x = 826.04 × 336.56
  4. Step 4: Simplify right side
    598.54x = 278,012.02
  5. Step 5: Solve for x
    x = 278,012.02/598.54
  6. Step 6: Final answer
    x = 464.48

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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.