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Finding the Fourth Proportional to 382.36, 573.78 and 209.14

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Solution

The fourth proportional to 382.36, 573.78 and 209.14 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.36 : 573.78 = 209.14 : x
  2. Step 2: Convert to fraction form
    382.36/573.78 = 209.14/x
  3. Step 3: Cross multiply
    382.36x = 573.78 × 209.14
  4. Step 4: Simplify right side
    382.36x = 120,000.35
  5. Step 5: Solve for x
    x = 120,000.35/382.36
  6. Step 6: Final answer
    x = 313.84

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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.