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Finding the Fourth Proportional to 447.84, 617.96 and 251.34

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Solution

The fourth proportional to 447.84, 617.96 and 251.34 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 617.96 = 251.34 : x
  2. Step 2: Convert to fraction form
    447.84/617.96 = 251.34/x
  3. Step 3: Cross multiply
    447.84x = 617.96 × 251.34
  4. Step 4: Simplify right side
    447.84x = 155,318.07
  5. Step 5: Solve for x
    x = 155,318.07/447.84
  6. Step 6: Final answer
    x = 346.82

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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.