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Finding the Fourth Proportional to 382.39, 573.07 and 208.80

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Solution

The fourth proportional to 382.39, 573.07 and 208.80 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.39 : 573.07 = 208.80 : x
  2. Step 2: Convert to fraction form
    382.39/573.07 = 208.80/x
  3. Step 3: Cross multiply
    382.39x = 573.07 × 208.80
  4. Step 4: Simplify right side
    382.39x = 119,654.34
  5. Step 5: Solve for x
    x = 119,654.34/382.39
  6. Step 6: Final answer
    x = 312.91

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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.