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Finding the Fourth Proportional to 615.54, 849.24 and 353.38

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Solution

The fourth proportional to 615.54, 849.24 and 353.38 is: 487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.54 : 849.24 = 353.38 : x
  2. Step 2: Convert to fraction form
    615.54/849.24 = 353.38/x
  3. Step 3: Cross multiply
    615.54x = 849.24 × 353.38
  4. Step 4: Simplify right side
    615.54x = 300,104.43
  5. Step 5: Solve for x
    x = 300,104.43/615.54
  6. Step 6: Final answer
    x = 487.55

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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.