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Finding the Fourth Proportional to 382.10, 527.29 and 207.44

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Solution

The fourth proportional to 382.10, 527.29 and 207.44 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 527.29 = 207.44 : x
  2. Step 2: Convert to fraction form
    382.10/527.29 = 207.44/x
  3. Step 3: Cross multiply
    382.10x = 527.29 × 207.44
  4. Step 4: Simplify right side
    382.10x = 109,381.04
  5. Step 5: Solve for x
    x = 109,381.04/382.10
  6. Step 6: Final answer
    x = 286.27

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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.