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Finding the Fourth Proportional to 597.24, 824.22 and 361.26

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Solution

The fourth proportional to 597.24, 824.22 and 361.26 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 824.22 = 361.26 : x
  2. Step 2: Convert to fraction form
    597.24/824.22 = 361.26/x
  3. Step 3: Cross multiply
    597.24x = 824.22 × 361.26
  4. Step 4: Simplify right side
    597.24x = 297,757.72
  5. Step 5: Solve for x
    x = 297,757.72/597.24
  6. Step 6: Final answer
    x = 498.56

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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.