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Finding the Fourth Proportional to 382.80, 528.27 and 208.15

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Solution

The fourth proportional to 382.80, 528.27 and 208.15 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 528.27 = 208.15 : x
  2. Step 2: Convert to fraction form
    382.80/528.27 = 208.15/x
  3. Step 3: Cross multiply
    382.80x = 528.27 × 208.15
  4. Step 4: Simplify right side
    382.80x = 109,958.86
  5. Step 5: Solve for x
    x = 109,958.86/382.80
  6. Step 6: Final answer
    x = 287.25

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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.