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Finding the Fourth Proportional to 294.76, 405.84 and 250.41

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Solution

The fourth proportional to 294.76, 405.84 and 250.41 is: 344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 405.84 = 250.41 : x
  2. Step 2: Convert to fraction form
    294.76/405.84 = 250.41/x
  3. Step 3: Cross multiply
    294.76x = 405.84 × 250.41
  4. Step 4: Simplify right side
    294.76x = 101,626.39
  5. Step 5: Solve for x
    x = 101,626.39/294.76
  6. Step 6: Final answer
    x = 344.78

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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.