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Finding the Fourth Proportional to 403.92, 557.44 and 238.12

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Solution

The fourth proportional to 403.92, 557.44 and 238.12 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 557.44 = 238.12 : x
  2. Step 2: Convert to fraction form
    403.92/557.44 = 238.12/x
  3. Step 3: Cross multiply
    403.92x = 557.44 × 238.12
  4. Step 4: Simplify right side
    403.92x = 132,737.61
  5. Step 5: Solve for x
    x = 132,737.61/403.92
  6. Step 6: Final answer
    x = 328.62

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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.