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Finding the Fourth Proportional to 382.30, 527.54 and 216.53

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Solution

The fourth proportional to 382.30, 527.54 and 216.53 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.30 : 527.54 = 216.53 : x
  2. Step 2: Convert to fraction form
    382.30/527.54 = 216.53/x
  3. Step 3: Cross multiply
    382.30x = 527.54 × 216.53
  4. Step 4: Simplify right side
    382.30x = 114,224.52
  5. Step 5: Solve for x
    x = 114,224.52/382.30
  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.