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Finding the Fourth Proportional to 598.15, 825.43 and 365.27

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Solution

The fourth proportional to 598.15, 825.43 and 365.27 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.15 : 825.43 = 365.27 : x
  2. Step 2: Convert to fraction form
    598.15/825.43 = 365.27/x
  3. Step 3: Cross multiply
    598.15x = 825.43 × 365.27
  4. Step 4: Simplify right side
    598.15x = 301,504.82
  5. Step 5: Solve for x
    x = 301,504.82/598.15
  6. Step 6: Final answer
    x = 504.06

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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.