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Finding the Fourth Proportional to 615.20, 849.29 and 449.75

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Solution

The fourth proportional to 615.20, 849.29 and 449.75 is: 620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.20 : 849.29 = 449.75 : x
  2. Step 2: Convert to fraction form
    615.20/849.29 = 449.75/x
  3. Step 3: Cross multiply
    615.20x = 849.29 × 449.75
  4. Step 4: Simplify right side
    615.20x = 381,968.05
  5. Step 5: Solve for x
    x = 381,968.05/615.20
  6. Step 6: Final answer
    x = 620.89

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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.