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Finding the Fourth Proportional to 382.08, 527.46 and 266.28

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Solution

The fourth proportional to 382.08, 527.46 and 266.28 is: 367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 527.46 = 266.28 : x
  2. Step 2: Convert to fraction form
    382.08/527.46 = 266.28/x
  3. Step 3: Cross multiply
    382.08x = 527.46 × 266.28
  4. Step 4: Simplify right side
    382.08x = 140,452.05
  5. Step 5: Solve for x
    x = 140,452.05/382.08
  6. Step 6: Final answer
    x = 367.60

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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.