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Finding the Fourth Proportional to 382.84, 528.30 and 216.99

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Solution

The fourth proportional to 382.84, 528.30 and 216.99 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 528.30 = 216.99 : x
  2. Step 2: Convert to fraction form
    382.84/528.30 = 216.99/x
  3. Step 3: Cross multiply
    382.84x = 528.30 × 216.99
  4. Step 4: Simplify right side
    382.84x = 114,635.95
  5. Step 5: Solve for x
    x = 114,635.95/382.84
  6. Step 6: Final answer
    x = 299.44

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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.