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Finding the Fourth Proportional to 382.47, 527.81 and 207.82

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Solution

The fourth proportional to 382.47, 527.81 and 207.82 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 527.81 = 207.82 : x
  2. Step 2: Convert to fraction form
    382.47/527.81 = 207.82/x
  3. Step 3: Cross multiply
    382.47x = 527.81 × 207.82
  4. Step 4: Simplify right side
    382.47x = 109,686.84
  5. Step 5: Solve for x
    x = 109,686.84/382.47
  6. Step 6: Final answer
    x = 286.79

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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.