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Finding the Fourth Proportional to 275.94, 378.78 and 254.04

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Solution

The fourth proportional to 275.94, 378.78 and 254.04 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 378.78 = 254.04 : x
  2. Step 2: Convert to fraction form
    275.94/378.78 = 254.04/x
  3. Step 3: Cross multiply
    275.94x = 378.78 × 254.04
  4. Step 4: Simplify right side
    275.94x = 96,225.27
  5. Step 5: Solve for x
    x = 96,225.27/275.94
  6. Step 6: Final answer
    x = 348.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.