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Finding the Fourth Proportional to 617.97, 852.96 and 382.13

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Solution

The fourth proportional to 617.97, 852.96 and 382.13 is: 527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.97 : 852.96 = 382.13 : x
  2. Step 2: Convert to fraction form
    617.97/852.96 = 382.13/x
  3. Step 3: Cross multiply
    617.97x = 852.96 × 382.13
  4. Step 4: Simplify right side
    617.97x = 325,937.34
  5. Step 5: Solve for x
    x = 325,937.34/617.97
  6. Step 6: Final answer
    x = 527.43

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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.