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Finding the Fourth Proportional to 447.40, 617.78 and 380.35

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Solution

The fourth proportional to 447.40, 617.78 and 380.35 is: 525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 617.78 = 380.35 : x
  2. Step 2: Convert to fraction form
    447.40/617.78 = 380.35/x
  3. Step 3: Cross multiply
    447.40x = 617.78 × 380.35
  4. Step 4: Simplify right side
    447.40x = 234,972.62
  5. Step 5: Solve for x
    x = 234,972.62/447.40
  6. Step 6: Final answer
    x = 525.20

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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.