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Finding the Fourth Proportional to 447.28, 617.42 and 260.94

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Solution

The fourth proportional to 447.28, 617.42 and 260.94 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 617.42 = 260.94 : x
  2. Step 2: Convert to fraction form
    447.28/617.42 = 260.94/x
  3. Step 3: Cross multiply
    447.28x = 617.42 × 260.94
  4. Step 4: Simplify right side
    447.28x = 161,109.57
  5. Step 5: Solve for x
    x = 161,109.57/447.28
  6. Step 6: Final answer
    x = 360.20

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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.