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Finding the Fourth Proportional to 382.69, 528.12 and 208.04

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Solution

The fourth proportional to 382.69, 528.12 and 208.04 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 528.12 = 208.04 : x
  2. Step 2: Convert to fraction form
    382.69/528.12 = 208.04/x
  3. Step 3: Cross multiply
    382.69x = 528.12 × 208.04
  4. Step 4: Simplify right side
    382.69x = 109,871.41
  5. Step 5: Solve for x
    x = 109,871.41/382.69
  6. Step 6: Final answer
    x = 287.10

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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.