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Finding the Fourth Proportional to 591.94, 816.85 and 326.37

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Solution

The fourth proportional to 591.94, 816.85 and 326.37 is: 450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.94 : 816.85 = 326.37 : x
  2. Step 2: Convert to fraction form
    591.94/816.85 = 326.37/x
  3. Step 3: Cross multiply
    591.94x = 816.85 × 326.37
  4. Step 4: Simplify right side
    591.94x = 266,596.97
  5. Step 5: Solve for x
    x = 266,596.97/591.94
  6. Step 6: Final answer
    x = 450.38

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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.