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Finding the Fourth Proportional to 382.56, 527.94 and 207.91

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Solution

The fourth proportional to 382.56, 527.94 and 207.91 is: 286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 527.94 = 207.91 : x
  2. Step 2: Convert to fraction form
    382.56/527.94 = 207.91/x
  3. Step 3: Cross multiply
    382.56x = 527.94 × 207.91
  4. Step 4: Simplify right side
    382.56x = 109,764.01
  5. Step 5: Solve for x
    x = 109,764.01/382.56
  6. Step 6: Final answer
    x = 286.92

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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.