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Finding the Fourth Proportional to 597.31, 824.29 and 331.75

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Solution

The fourth proportional to 597.31, 824.29 and 331.75 is: 457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.31 : 824.29 = 331.75 : x
  2. Step 2: Convert to fraction form
    597.31/824.29 = 331.75/x
  3. Step 3: Cross multiply
    597.31x = 824.29 × 331.75
  4. Step 4: Simplify right side
    597.31x = 273,454.09
  5. Step 5: Solve for x
    x = 273,454.09/597.31
  6. Step 6: Final answer
    x = 457.81

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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.