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Finding the Fourth Proportional to 382.68, 528.12 and 208.02

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Solution

The fourth proportional to 382.68, 528.12 and 208.02 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 528.12 = 208.02 : x
  2. Step 2: Convert to fraction form
    382.68/528.12 = 208.02/x
  3. Step 3: Cross multiply
    382.68x = 528.12 × 208.02
  4. Step 4: Simplify right side
    382.68x = 109,859.52
  5. Step 5: Solve for x
    x = 109,859.52/382.68
  6. Step 6: Final answer
    x = 287.08

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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.