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Finding the Fourth Proportional to 591.75, 816.45 and 382.05

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Solution

The fourth proportional to 591.75, 816.45 and 382.05 is: 527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.75 : 816.45 = 382.05 : x
  2. Step 2: Convert to fraction form
    591.75/816.45 = 382.05/x
  3. Step 3: Cross multiply
    591.75x = 816.45 × 382.05
  4. Step 4: Simplify right side
    591.75x = 311,923.29
  5. Step 5: Solve for x
    x = 311,923.29/591.75
  6. Step 6: Final answer
    x = 527.12

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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.