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Finding the Fourth Proportional to 382.14, 527.34 and 214.11

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Solution

The fourth proportional to 382.14, 527.34 and 214.11 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 527.34 = 214.11 : x
  2. Step 2: Convert to fraction form
    382.14/527.34 = 214.11/x
  3. Step 3: Cross multiply
    382.14x = 527.34 × 214.11
  4. Step 4: Simplify right side
    382.14x = 112,905.19
  5. Step 5: Solve for x
    x = 112,905.19/382.14
  6. Step 6: Final answer
    x = 295.46

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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.