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Finding the Fourth Proportional to 597.34, 824.28 and 361.33

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Solution

The fourth proportional to 597.34, 824.28 and 361.33 is: 498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.34 : 824.28 = 361.33 : x
  2. Step 2: Convert to fraction form
    597.34/824.28 = 361.33/x
  3. Step 3: Cross multiply
    597.34x = 824.28 × 361.33
  4. Step 4: Simplify right side
    597.34x = 297,837.09
  5. Step 5: Solve for x
    x = 297,837.09/597.34
  6. Step 6: Final answer
    x = 498.61

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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.