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Finding the Fourth Proportional to 598.07, 825.86 and 459.56

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Solution

The fourth proportional to 598.07, 825.86 and 459.56 is: 634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 825.86 = 459.56 : x
  2. Step 2: Convert to fraction form
    598.07/825.86 = 459.56/x
  3. Step 3: Cross multiply
    598.07x = 825.86 × 459.56
  4. Step 4: Simplify right side
    598.07x = 379,532.85
  5. Step 5: Solve for x
    x = 379,532.85/598.07
  6. Step 6: Final answer
    x = 634.59

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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.