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Finding the Fourth Proportional to 446.19, 615.74 and 249.71

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Solution

The fourth proportional to 446.19, 615.74 and 249.71 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.19 : 615.74 = 249.71 : x
  2. Step 2: Convert to fraction form
    446.19/615.74 = 249.71/x
  3. Step 3: Cross multiply
    446.19x = 615.74 × 249.71
  4. Step 4: Simplify right side
    446.19x = 153,753.04
  5. Step 5: Solve for x
    x = 153,753.04/446.19
  6. Step 6: Final answer
    x = 344.59

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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.