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Finding the Fourth Proportional to 382.56, 574.92 and 296.16

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Solution

The fourth proportional to 382.56, 574.92 and 296.16 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 574.92 = 296.16 : x
  2. Step 2: Convert to fraction form
    382.56/574.92 = 296.16/x
  3. Step 3: Cross multiply
    382.56x = 574.92 × 296.16
  4. Step 4: Simplify right side
    382.56x = 170,268.31
  5. Step 5: Solve for x
    x = 170,268.31/382.56
  6. Step 6: Final answer
    x = 445.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.