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Finding the Fourth Proportional to 447.84, 617.66 and 270.78

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Solution

The fourth proportional to 447.84, 617.66 and 270.78 is: 373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 617.66 = 270.78 : x
  2. Step 2: Convert to fraction form
    447.84/617.66 = 270.78/x
  3. Step 3: Cross multiply
    447.84x = 617.66 × 270.78
  4. Step 4: Simplify right side
    447.84x = 167,249.97
  5. Step 5: Solve for x
    x = 167,249.97/447.84
  6. Step 6: Final answer
    x = 373.46

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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.