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Finding the Fourth Proportional to 382.71, 528.14 and 208.06

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Solution

The fourth proportional to 382.71, 528.14 and 208.06 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 528.14 = 208.06 : x
  2. Step 2: Convert to fraction form
    382.71/528.14 = 208.06/x
  3. Step 3: Cross multiply
    382.71x = 528.14 × 208.06
  4. Step 4: Simplify right side
    382.71x = 109,884.01
  5. Step 5: Solve for x
    x = 109,884.01/382.71
  6. Step 6: Final answer
    x = 287.12

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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.