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Finding the Fourth Proportional to 382.57, 573.61 and 209.11

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Solution

The fourth proportional to 382.57, 573.61 and 209.11 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 573.61 = 209.11 : x
  2. Step 2: Convert to fraction form
    382.57/573.61 = 209.11/x
  3. Step 3: Cross multiply
    382.57x = 573.61 × 209.11
  4. Step 4: Simplify right side
    382.57x = 119,944.90
  5. Step 5: Solve for x
    x = 119,944.90/382.57
  6. Step 6: Final answer
    x = 313.52

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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.