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Finding the Fourth Proportional to 591.11, 815.69 and 329.12

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Solution

The fourth proportional to 591.11, 815.69 and 329.12 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.11 : 815.69 = 329.12 : x
  2. Step 2: Convert to fraction form
    591.11/815.69 = 329.12/x
  3. Step 3: Cross multiply
    591.11x = 815.69 × 329.12
  4. Step 4: Simplify right side
    591.11x = 268,456.64
  5. Step 5: Solve for x
    x = 268,456.64/591.11
  6. Step 6: Final answer
    x = 454.16

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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.