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Finding the Fourth Proportional to 295.94, 408.39 and 225.92

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Solution

The fourth proportional to 295.94, 408.39 and 225.92 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.94 : 408.39 = 225.92 : x
  2. Step 2: Convert to fraction form
    295.94/408.39 = 225.92/x
  3. Step 3: Cross multiply
    295.94x = 408.39 × 225.92
  4. Step 4: Simplify right side
    295.94x = 92,263.47
  5. Step 5: Solve for x
    x = 92,263.47/295.94
  6. Step 6: Final answer
    x = 311.76

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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.