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Finding the Fourth Proportional to 591.56, 816.42 and 394.76

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Solution

The fourth proportional to 591.56, 816.42 and 394.76 is: 544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 816.42 = 394.76 : x
  2. Step 2: Convert to fraction form
    591.56/816.42 = 394.76/x
  3. Step 3: Cross multiply
    591.56x = 816.42 × 394.76
  4. Step 4: Simplify right side
    591.56x = 322,289.96
  5. Step 5: Solve for x
    x = 322,289.96/591.56
  6. Step 6: Final answer
    x = 544.81

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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.