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Finding the Fourth Proportional to 445.95, 615.41 and 249.46

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Solution

The fourth proportional to 445.95, 615.41 and 249.46 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.95 : 615.41 = 249.46 : x
  2. Step 2: Convert to fraction form
    445.95/615.41 = 249.46/x
  3. Step 3: Cross multiply
    445.95x = 615.41 × 249.46
  4. Step 4: Simplify right side
    445.95x = 153,518.93
  5. Step 5: Solve for x
    x = 153,518.93/445.95
  6. Step 6: Final answer
    x = 344.26

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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.