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Finding the Fourth Proportional to 382.57, 527.93 and 207.91

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Solution

The fourth proportional to 382.57, 527.93 and 207.91 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.57 : 527.93 = 207.91 : x
  2. Step 2: Convert to fraction form
    382.57/527.93 = 207.91/x
  3. Step 3: Cross multiply
    382.57x = 527.93 × 207.91
  4. Step 4: Simplify right side
    382.57x = 109,761.93
  5. Step 5: Solve for x
    x = 109,761.93/382.57
  6. Step 6: Final answer
    x = 286.91

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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.