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Finding the Fourth Proportional to 598.74, 825.71 and 412.44

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Solution

The fourth proportional to 598.74, 825.71 and 412.44 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 825.71 = 412.44 : x
  2. Step 2: Convert to fraction form
    598.74/825.71 = 412.44/x
  3. Step 3: Cross multiply
    598.74x = 825.71 × 412.44
  4. Step 4: Simplify right side
    598.74x = 340,553.77
  5. Step 5: Solve for x
    x = 340,553.77/598.74
  6. Step 6: Final answer
    x = 568.78

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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.