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Finding the Fourth Proportional to 382.06, 527.26 and 207.42

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Solution

The fourth proportional to 382.06, 527.26 and 207.42 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 527.26 = 207.42 : x
  2. Step 2: Convert to fraction form
    382.06/527.26 = 207.42/x
  3. Step 3: Cross multiply
    382.06x = 527.26 × 207.42
  4. Step 4: Simplify right side
    382.06x = 109,362.43
  5. Step 5: Solve for x
    x = 109,362.43/382.06
  6. Step 6: Final answer
    x = 286.24

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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.