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Finding the Fourth Proportional to 598.98, 826.86 and 459.66

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Solution

The fourth proportional to 598.98, 826.86 and 459.66 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.98 : 826.86 = 459.66 : x
  2. Step 2: Convert to fraction form
    598.98/826.86 = 459.66/x
  3. Step 3: Cross multiply
    598.98x = 826.86 × 459.66
  4. Step 4: Simplify right side
    598.98x = 380,074.47
  5. Step 5: Solve for x
    x = 380,074.47/598.98
  6. Step 6: Final answer
    x = 634.54

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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.