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Finding the Fourth Proportional to 615.78, 849.79 and 353.82

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Solution

The fourth proportional to 615.78, 849.79 and 353.82 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 849.79 = 353.82 : x
  2. Step 2: Convert to fraction form
    615.78/849.79 = 353.82/x
  3. Step 3: Cross multiply
    615.78x = 849.79 × 353.82
  4. Step 4: Simplify right side
    615.78x = 300,672.70
  5. Step 5: Solve for x
    x = 300,672.70/615.78
  6. Step 6: Final answer
    x = 488.28

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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.