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Finding the Fourth Proportional to 615.82, 849.73 and 353.78

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Solution

The fourth proportional to 615.82, 849.73 and 353.78 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.82 : 849.73 = 353.78 : x
  2. Step 2: Convert to fraction form
    615.82/849.73 = 353.78/x
  3. Step 3: Cross multiply
    615.82x = 849.73 × 353.78
  4. Step 4: Simplify right side
    615.82x = 300,617.48
  5. Step 5: Solve for x
    x = 300,617.48/615.82
  6. Step 6: Final answer
    x = 488.16

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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.