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Finding the Fourth Proportional to 382.92, 527.94 and 289.80

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Solution

The fourth proportional to 382.92, 527.94 and 289.80 is: 399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.92 : 527.94 = 289.80 : x
  2. Step 2: Convert to fraction form
    382.92/527.94 = 289.80/x
  3. Step 3: Cross multiply
    382.92x = 527.94 × 289.80
  4. Step 4: Simplify right side
    382.92x = 152,997.01
  5. Step 5: Solve for x
    x = 152,997.01/382.92
  6. Step 6: Final answer
    x = 399.55

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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.