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Finding the Fourth Proportional to 382.08, 527.24 and 214.02

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Solution

The fourth proportional to 382.08, 527.24 and 214.02 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.08 : 527.24 = 214.02 : x
  2. Step 2: Convert to fraction form
    382.08/527.24 = 214.02/x
  3. Step 3: Cross multiply
    382.08x = 527.24 × 214.02
  4. Step 4: Simplify right side
    382.08x = 112,839.90
  5. Step 5: Solve for x
    x = 112,839.90/382.08
  6. Step 6: Final answer
    x = 295.33

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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.