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Finding the Fourth Proportional to 447.51, 617.67 and 261.03

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Solution

The fourth proportional to 447.51, 617.67 and 261.03 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.51 : 617.67 = 261.03 : x
  2. Step 2: Convert to fraction form
    447.51/617.67 = 261.03/x
  3. Step 3: Cross multiply
    447.51x = 617.67 × 261.03
  4. Step 4: Simplify right side
    447.51x = 161,230.40
  5. Step 5: Solve for x
    x = 161,230.40/447.51
  6. Step 6: Final answer
    x = 360.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.