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Finding the Fourth Proportional to 597.30, 824.31 and 331.78

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Solution

The fourth proportional to 597.30, 824.31 and 331.78 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 824.31 = 331.78 : x
  2. Step 2: Convert to fraction form
    597.30/824.31 = 331.78/x
  3. Step 3: Cross multiply
    597.30x = 824.31 × 331.78
  4. Step 4: Simplify right side
    597.30x = 273,487.51
  5. Step 5: Solve for x
    x = 273,487.51/597.30
  6. Step 6: Final answer
    x = 457.88

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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.