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Finding the Fourth Proportional to 615.22, 849.07 and 353.23

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Solution

The fourth proportional to 615.22, 849.07 and 353.23 is: 487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.22 : 849.07 = 353.23 : x
  2. Step 2: Convert to fraction form
    615.22/849.07 = 353.23/x
  3. Step 3: Cross multiply
    615.22x = 849.07 × 353.23
  4. Step 4: Simplify right side
    615.22x = 299,912.75
  5. Step 5: Solve for x
    x = 299,912.75/615.22
  6. Step 6: Final answer
    x = 487.49

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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.