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Finding the Fourth Proportional to 598.25, 825.59 and 362.21

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Solution

The fourth proportional to 598.25, 825.59 and 362.21 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 825.59 = 362.21 : x
  2. Step 2: Convert to fraction form
    598.25/825.59 = 362.21/x
  3. Step 3: Cross multiply
    598.25x = 825.59 × 362.21
  4. Step 4: Simplify right side
    598.25x = 299,033.73
  5. Step 5: Solve for x
    x = 299,033.73/598.25
  6. Step 6: Final answer
    x = 499.85

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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.