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Finding the Fourth Proportional to 615.23, 849.09 and 353.24

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Solution

The fourth proportional to 615.23, 849.09 and 353.24 is: 487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.23 : 849.09 = 353.24 : x
  2. Step 2: Convert to fraction form
    615.23/849.09 = 353.24/x
  3. Step 3: Cross multiply
    615.23x = 849.09 × 353.24
  4. Step 4: Simplify right side
    615.23x = 299,926.98
  5. Step 5: Solve for x
    x = 299,926.98/615.23
  6. Step 6: Final answer
    x = 487.51

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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.