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Finding the Fourth Proportional to 446.37, 616.05 and 249.95

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Solution

The fourth proportional to 446.37, 616.05 and 249.95 is: 344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.37 : 616.05 = 249.95 : x
  2. Step 2: Convert to fraction form
    446.37/616.05 = 249.95/x
  3. Step 3: Cross multiply
    446.37x = 616.05 × 249.95
  4. Step 4: Simplify right side
    446.37x = 153,978.62
  5. Step 5: Solve for x
    x = 153,978.62/446.37
  6. Step 6: Final answer
    x = 344.96

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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.