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Finding the Fourth Proportional to 597.50, 824.58 and 331.97

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Solution

The fourth proportional to 597.50, 824.58 and 331.97 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.58 = 331.97 : x
  2. Step 2: Convert to fraction form
    597.50/824.58 = 331.97/x
  3. Step 3: Cross multiply
    597.50x = 824.58 × 331.97
  4. Step 4: Simplify right side
    597.50x = 273,735.82
  5. Step 5: Solve for x
    x = 273,735.82/597.50
  6. Step 6: Final answer
    x = 458.14

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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.