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Finding the Fourth Proportional to 591.41, 816.19 and 329.43

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Solution

The fourth proportional to 591.41, 816.19 and 329.43 is: 454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.41 : 816.19 = 329.43 : x
  2. Step 2: Convert to fraction form
    591.41/816.19 = 329.43/x
  3. Step 3: Cross multiply
    591.41x = 816.19 × 329.43
  4. Step 4: Simplify right side
    591.41x = 268,877.47
  5. Step 5: Solve for x
    x = 268,877.47/591.41
  6. Step 6: Final answer
    x = 454.64

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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.