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Finding the Fourth Proportional to 446.27, 615.87 and 249.82

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Solution

The fourth proportional to 446.27, 615.87 and 249.82 is: 344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.27 : 615.87 = 249.82 : x
  2. Step 2: Convert to fraction form
    446.27/615.87 = 249.82/x
  3. Step 3: Cross multiply
    446.27x = 615.87 × 249.82
  4. Step 4: Simplify right side
    446.27x = 153,855.10
  5. Step 5: Solve for x
    x = 153,855.10/446.27
  6. Step 6: Final answer
    x = 344.76

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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.