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Finding the Fourth Proportional to 382.37, 527.67 and 207.71

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Solution

The fourth proportional to 382.37, 527.67 and 207.71 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.37 : 527.67 = 207.71 : x
  2. Step 2: Convert to fraction form
    382.37/527.67 = 207.71/x
  3. Step 3: Cross multiply
    382.37x = 527.67 × 207.71
  4. Step 4: Simplify right side
    382.37x = 109,603.65
  5. Step 5: Solve for x
    x = 109,603.65/382.37
  6. Step 6: Final answer
    x = 286.64

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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.