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Finding the Fourth Proportional to 597.97, 825.35 and 365.29

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Solution

The fourth proportional to 597.97, 825.35 and 365.29 is: 504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 825.35 = 365.29 : x
  2. Step 2: Convert to fraction form
    597.97/825.35 = 365.29/x
  3. Step 3: Cross multiply
    597.97x = 825.35 × 365.29
  4. Step 4: Simplify right side
    597.97x = 301,490.28
  5. Step 5: Solve for x
    x = 301,490.28/597.97
  6. Step 6: Final answer
    x = 504.19

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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.