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Finding the Fourth Proportional to 382.29, 527.54 and 214.25

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Solution

The fourth proportional to 382.29, 527.54 and 214.25 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 527.54 = 214.25 : x
  2. Step 2: Convert to fraction form
    382.29/527.54 = 214.25/x
  3. Step 3: Cross multiply
    382.29x = 527.54 × 214.25
  4. Step 4: Simplify right side
    382.29x = 113,021.74
  5. Step 5: Solve for x
    x = 113,021.74/382.29
  6. Step 6: Final answer
    x = 295.64

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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.