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Finding the Fourth Proportional to 382.22, 527.47 and 224.86

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Solution

The fourth proportional to 382.22, 527.47 and 224.86 is: 310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 527.47 = 224.86 : x
  2. Step 2: Convert to fraction form
    382.22/527.47 = 224.86/x
  3. Step 3: Cross multiply
    382.22x = 527.47 × 224.86
  4. Step 4: Simplify right side
    382.22x = 118,605.02
  5. Step 5: Solve for x
    x = 118,605.02/382.22
  6. Step 6: Final answer
    x = 310.31

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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.