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Finding the Fourth Proportional to 382.33, 527.60 and 207.68

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Solution

The fourth proportional to 382.33, 527.60 and 207.68 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.33 : 527.60 = 207.68 : x
  2. Step 2: Convert to fraction form
    382.33/527.60 = 207.68/x
  3. Step 3: Cross multiply
    382.33x = 527.60 × 207.68
  4. Step 4: Simplify right side
    382.33x = 109,569.85
  5. Step 5: Solve for x
    x = 109,569.85/382.33
  6. Step 6: Final answer
    x = 286.58

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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.