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Finding the Fourth Proportional to 548.57, 756.91 and 382.73

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Solution

The fourth proportional to 548.57, 756.91 and 382.73 is: 528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 756.91 = 382.73 : x
  2. Step 2: Convert to fraction form
    548.57/756.91 = 382.73/x
  3. Step 3: Cross multiply
    548.57x = 756.91 × 382.73
  4. Step 4: Simplify right side
    548.57x = 289,687.42
  5. Step 5: Solve for x
    x = 289,687.42/548.57
  6. Step 6: Final answer
    x = 528.08

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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.