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Finding the Fourth Proportional to 447.55, 617.56 and 261.07

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Solution

The fourth proportional to 447.55, 617.56 and 261.07 is: 360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.55 : 617.56 = 261.07 : x
  2. Step 2: Convert to fraction form
    447.55/617.56 = 261.07/x
  3. Step 3: Cross multiply
    447.55x = 617.56 × 261.07
  4. Step 4: Simplify right side
    447.55x = 161,226.39
  5. Step 5: Solve for x
    x = 161,226.39/447.55
  6. Step 6: Final answer
    x = 360.24

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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.