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Finding the Fourth Proportional to 597.11, 824.03 and 327.95

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Solution

The fourth proportional to 597.11, 824.03 and 327.95 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 824.03 = 327.95 : x
  2. Step 2: Convert to fraction form
    597.11/824.03 = 327.95/x
  3. Step 3: Cross multiply
    597.11x = 824.03 × 327.95
  4. Step 4: Simplify right side
    597.11x = 270,234.88
  5. Step 5: Solve for x
    x = 270,234.88/597.11
  6. Step 6: Final answer
    x = 452.58

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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.