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Finding the Fourth Proportional to 382.68, 527.22 and 284.22

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Solution

The fourth proportional to 382.68, 527.22 and 284.22 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 527.22 = 284.22 : x
  2. Step 2: Convert to fraction form
    382.68/527.22 = 284.22/x
  3. Step 3: Cross multiply
    382.68x = 527.22 × 284.22
  4. Step 4: Simplify right side
    382.68x = 149,846.47
  5. Step 5: Solve for x
    x = 149,846.47/382.68
  6. Step 6: Final answer
    x = 391.57

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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.