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Finding the Fourth Proportional to 591.82, 816.67 and 326.29

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Solution

The fourth proportional to 591.82, 816.67 and 326.29 is: 450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 816.67 = 326.29 : x
  2. Step 2: Convert to fraction form
    591.82/816.67 = 326.29/x
  3. Step 3: Cross multiply
    591.82x = 816.67 × 326.29
  4. Step 4: Simplify right side
    591.82x = 266,474.21
  5. Step 5: Solve for x
    x = 266,474.21/591.82
  6. Step 6: Final answer
    x = 450.27

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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.