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Finding the Fourth Proportional to 382.01, 527.15 and 216.21

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Solution

The fourth proportional to 382.01, 527.15 and 216.21 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.01 : 527.15 = 216.21 : x
  2. Step 2: Convert to fraction form
    382.01/527.15 = 216.21/x
  3. Step 3: Cross multiply
    382.01x = 527.15 × 216.21
  4. Step 4: Simplify right side
    382.01x = 113,975.64
  5. Step 5: Solve for x
    x = 113,975.64/382.01
  6. Step 6: Final answer
    x = 298.36

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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.