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Finding the Fourth Proportional to 382.20, 527.42 and 207.54

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Solution

The fourth proportional to 382.20, 527.42 and 207.54 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 527.42 = 207.54 : x
  2. Step 2: Convert to fraction form
    382.20/527.42 = 207.54/x
  3. Step 3: Cross multiply
    382.20x = 527.42 × 207.54
  4. Step 4: Simplify right side
    382.20x = 109,457.07
  5. Step 5: Solve for x
    x = 109,457.07/382.20
  6. Step 6: Final answer
    x = 286.39

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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.