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Finding the Fourth Proportional to 447.71, 617.93 and 270.63

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Solution

The fourth proportional to 447.71, 617.93 and 270.63 is: 373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.71 : 617.93 = 270.63 : x
  2. Step 2: Convert to fraction form
    447.71/617.93 = 270.63/x
  3. Step 3: Cross multiply
    447.71x = 617.93 × 270.63
  4. Step 4: Simplify right side
    447.71x = 167,229.04
  5. Step 5: Solve for x
    x = 167,229.04/447.71
  6. Step 6: Final answer
    x = 373.53

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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.