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Finding the Fourth Proportional to 382.63, 528.02 and 207.97

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Solution

The fourth proportional to 382.63, 528.02 and 207.97 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.63 : 528.02 = 207.97 : x
  2. Step 2: Convert to fraction form
    382.63/528.02 = 207.97/x
  3. Step 3: Cross multiply
    382.63x = 528.02 × 207.97
  4. Step 4: Simplify right side
    382.63x = 109,812.32
  5. Step 5: Solve for x
    x = 109,812.32/382.63
  6. Step 6: Final answer
    x = 286.99

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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.