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Finding the Fourth Proportional to 382.86, 528.34 and 208.21

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Solution

The fourth proportional to 382.86, 528.34 and 208.21 is: 287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.86 : 528.34 = 208.21 : x
  2. Step 2: Convert to fraction form
    382.86/528.34 = 208.21/x
  3. Step 3: Cross multiply
    382.86x = 528.34 × 208.21
  4. Step 4: Simplify right side
    382.86x = 110,002.65
  5. Step 5: Solve for x
    x = 110,002.65/382.86
  6. Step 6: Final answer
    x = 287.32

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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.