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Finding the Fourth Proportional to 598.26, 825.21 and 411.69

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Solution

The fourth proportional to 598.26, 825.21 and 411.69 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 825.21 = 411.69 : x
  2. Step 2: Convert to fraction form
    598.26/825.21 = 411.69/x
  3. Step 3: Cross multiply
    598.26x = 825.21 × 411.69
  4. Step 4: Simplify right side
    598.26x = 339,730.70
  5. Step 5: Solve for x
    x = 339,730.70/598.26
  6. Step 6: Final answer
    x = 567.86

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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.