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Finding the Fourth Proportional to 399.92, 552.23 and 382.08

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Solution

The fourth proportional to 399.92, 552.23 and 382.08 is: 527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.92 : 552.23 = 382.08 : x
  2. Step 2: Convert to fraction form
    399.92/552.23 = 382.08/x
  3. Step 3: Cross multiply
    399.92x = 552.23 × 382.08
  4. Step 4: Simplify right side
    399.92x = 210,997.11
  5. Step 5: Solve for x
    x = 210,997.11/399.92
  6. Step 6: Final answer
    x = 527.60

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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.