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Finding the Fourth Proportional to 382.67, 527.43 and 320.30

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Solution

The fourth proportional to 382.67, 527.43 and 320.30 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.67 : 527.43 = 320.30 : x
  2. Step 2: Convert to fraction form
    382.67/527.43 = 320.30/x
  3. Step 3: Cross multiply
    382.67x = 527.43 × 320.30
  4. Step 4: Simplify right side
    382.67x = 168,935.83
  5. Step 5: Solve for x
    x = 168,935.83/382.67
  6. Step 6: Final answer
    x = 441.47

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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.