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Finding the Fourth Proportional to 382.51, 527.94 and 216.73

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Solution

The fourth proportional to 382.51, 527.94 and 216.73 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.51 : 527.94 = 216.73 : x
  2. Step 2: Convert to fraction form
    382.51/527.94 = 216.73/x
  3. Step 3: Cross multiply
    382.51x = 527.94 × 216.73
  4. Step 4: Simplify right side
    382.51x = 114,423.19
  5. Step 5: Solve for x
    x = 114,423.19/382.51
  6. Step 6: Final answer
    x = 299.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.