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Finding the Fourth Proportional to 591.82, 816.67 and 329.85

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Solution

The fourth proportional to 591.82, 816.67 and 329.85 is: 455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 816.67 = 329.85 : x
  2. Step 2: Convert to fraction form
    591.82/816.67 = 329.85/x
  3. Step 3: Cross multiply
    591.82x = 816.67 × 329.85
  4. Step 4: Simplify right side
    591.82x = 269,378.60
  5. Step 5: Solve for x
    x = 269,378.60/591.82
  6. Step 6: Final answer
    x = 455.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.