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Finding the Fourth Proportional to 447.54, 617.63 and 261.02

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Solution

The fourth proportional to 447.54, 617.63 and 261.02 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.54 : 617.63 = 261.02 : x
  2. Step 2: Convert to fraction form
    447.54/617.63 = 261.02/x
  3. Step 3: Cross multiply
    447.54x = 617.63 × 261.02
  4. Step 4: Simplify right side
    447.54x = 161,209.39
  5. Step 5: Solve for x
    x = 161,209.39/447.54
  6. Step 6: Final answer
    x = 360.21

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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.