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Finding the Fourth Proportional to 597.17, 824.09 and 361.09

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Solution

The fourth proportional to 597.17, 824.09 and 361.09 is: 498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 824.09 = 361.09 : x
  2. Step 2: Convert to fraction form
    597.17/824.09 = 361.09/x
  3. Step 3: Cross multiply
    597.17x = 824.09 × 361.09
  4. Step 4: Simplify right side
    597.17x = 297,566.54
  5. Step 5: Solve for x
    x = 297,566.54/597.17
  6. Step 6: Final answer
    x = 498.29

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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.