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Finding the Fourth Proportional to 598.46, 825.81 and 365.54

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Solution

The fourth proportional to 598.46, 825.81 and 365.54 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 825.81 = 365.54 : x
  2. Step 2: Convert to fraction form
    598.46/825.81 = 365.54/x
  3. Step 3: Cross multiply
    598.46x = 825.81 × 365.54
  4. Step 4: Simplify right side
    598.46x = 301,866.59
  5. Step 5: Solve for x
    x = 301,866.59/598.46
  6. Step 6: Final answer
    x = 504.41

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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.