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Finding the Fourth Proportional to 382.54, 527.85 and 216.76

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Solution

The fourth proportional to 382.54, 527.85 and 216.76 is: 299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.54 : 527.85 = 216.76 : x
  2. Step 2: Convert to fraction form
    382.54/527.85 = 216.76/x
  3. Step 3: Cross multiply
    382.54x = 527.85 × 216.76
  4. Step 4: Simplify right side
    382.54x = 114,416.44
  5. Step 5: Solve for x
    x = 114,416.44/382.54
  6. Step 6: Final answer
    x = 299.10

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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.