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Finding the Fourth Proportional to 382.06, 527.04 and 251.02

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Solution

The fourth proportional to 382.06, 527.04 and 251.02 is: 346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 527.04 = 251.02 : x
  2. Step 2: Convert to fraction form
    382.06/527.04 = 251.02/x
  3. Step 3: Cross multiply
    382.06x = 527.04 × 251.02
  4. Step 4: Simplify right side
    382.06x = 132,297.58
  5. Step 5: Solve for x
    x = 132,297.58/382.06
  6. Step 6: Final answer
    x = 346.27

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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.