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Finding the Fourth Proportional to 382.24, 527.50 and 214.19

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Solution

The fourth proportional to 382.24, 527.50 and 214.19 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 527.50 = 214.19 : x
  2. Step 2: Convert to fraction form
    382.24/527.50 = 214.19/x
  3. Step 3: Cross multiply
    382.24x = 527.50 × 214.19
  4. Step 4: Simplify right side
    382.24x = 112,985.23
  5. Step 5: Solve for x
    x = 112,985.23/382.24
  6. Step 6: Final answer
    x = 295.59

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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.