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Finding the Fourth Proportional to 447.53, 617.50 and 270.44

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Solution

The fourth proportional to 447.53, 617.50 and 270.44 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.53 : 617.50 = 270.44 : x
  2. Step 2: Convert to fraction form
    447.53/617.50 = 270.44/x
  3. Step 3: Cross multiply
    447.53x = 617.50 × 270.44
  4. Step 4: Simplify right side
    447.53x = 166,999.74
  5. Step 5: Solve for x
    x = 166,999.74/447.53
  6. Step 6: Final answer
    x = 373.16

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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.