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Finding the Fourth Proportional to 382.40, 527.64 and 216.54

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Solution

The fourth proportional to 382.40, 527.64 and 216.54 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.40 : 527.64 = 216.54 : x
  2. Step 2: Convert to fraction form
    382.40/527.64 = 216.54/x
  3. Step 3: Cross multiply
    382.40x = 527.64 × 216.54
  4. Step 4: Simplify right side
    382.40x = 114,255.17
  5. Step 5: Solve for x
    x = 114,255.17/382.40
  6. Step 6: Final answer
    x = 298.78

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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.