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Finding the Fourth Proportional to 598.24, 825.42 and 412.48

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Solution

The fourth proportional to 598.24, 825.42 and 412.48 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 825.42 = 412.48 : x
  2. Step 2: Convert to fraction form
    598.24/825.42 = 412.48/x
  3. Step 3: Cross multiply
    598.24x = 825.42 × 412.48
  4. Step 4: Simplify right side
    598.24x = 340,469.24
  5. Step 5: Solve for x
    x = 340,469.24/598.24
  6. Step 6: Final answer
    x = 569.12

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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.