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Finding the Fourth Proportional to 381.61, 527.12 and 282.23

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Solution

The fourth proportional to 381.61, 527.12 and 282.23 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 527.12 = 282.23 : x
  2. Step 2: Convert to fraction form
    381.61/527.12 = 282.23/x
  3. Step 3: Cross multiply
    381.61x = 527.12 × 282.23
  4. Step 4: Simplify right side
    381.61x = 148,768.07
  5. Step 5: Solve for x
    x = 148,768.07/381.61
  6. Step 6: Final answer
    x = 389.84

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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.