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Finding the Fourth Proportional to 615.61, 849.22 and 382.33

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Solution

The fourth proportional to 615.61, 849.22 and 382.33 is: 527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.61 : 849.22 = 382.33 : x
  2. Step 2: Convert to fraction form
    615.61/849.22 = 382.33/x
  3. Step 3: Cross multiply
    615.61x = 849.22 × 382.33
  4. Step 4: Simplify right side
    615.61x = 324,682.28
  5. Step 5: Solve for x
    x = 324,682.28/615.61
  6. Step 6: Final answer
    x = 527.42

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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.