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Finding the Fourth Proportional to 382.15, 527.32 and 224.82

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Solution

The fourth proportional to 382.15, 527.32 and 224.82 is: 310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.15 : 527.32 = 224.82 : x
  2. Step 2: Convert to fraction form
    382.15/527.32 = 224.82/x
  3. Step 3: Cross multiply
    382.15x = 527.32 × 224.82
  4. Step 4: Simplify right side
    382.15x = 118,552.08
  5. Step 5: Solve for x
    x = 118,552.08/382.15
  6. Step 6: Final answer
    x = 310.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.