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Finding the Fourth Proportional to 597.10, 824.00 and 331.55

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Solution

The fourth proportional to 597.10, 824.00 and 331.55 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 824.00 = 331.55 : x
  2. Step 2: Convert to fraction form
    597.10/824.00 = 331.55/x
  3. Step 3: Cross multiply
    597.10x = 824.00 × 331.55
  4. Step 4: Simplify right side
    597.10x = 273,195.54
  5. Step 5: Solve for x
    x = 273,195.54/597.10
  6. Step 6: Final answer
    x = 457.54

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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.