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Finding the Fourth Proportional to 446.26, 615.82 and 280.75

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Solution

The fourth proportional to 446.26, 615.82 and 280.75 is: 387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.26 : 615.82 = 280.75 : x
  2. Step 2: Convert to fraction form
    446.26/615.82 = 280.75/x
  3. Step 3: Cross multiply
    446.26x = 615.82 × 280.75
  4. Step 4: Simplify right side
    446.26x = 172,893.03
  5. Step 5: Solve for x
    x = 172,893.03/446.26
  6. Step 6: Final answer
    x = 387.43

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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.