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Finding the Fourth Proportional to 382.12, 571.29 and 347.56

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Solution

The fourth proportional to 382.12, 571.29 and 347.56 is: 519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 571.29 = 347.56 : x
  2. Step 2: Convert to fraction form
    382.12/571.29 = 347.56/x
  3. Step 3: Cross multiply
    382.12x = 571.29 × 347.56
  4. Step 4: Simplify right side
    382.12x = 198,554.82
  5. Step 5: Solve for x
    x = 198,554.82/382.12
  6. Step 6: Final answer
    x = 519.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.