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Finding the Fourth Proportional to 382.06, 527.32 and 224.72

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Solution

The fourth proportional to 382.06, 527.32 and 224.72 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 527.32 = 224.72 : x
  2. Step 2: Convert to fraction form
    382.06/527.32 = 224.72/x
  3. Step 3: Cross multiply
    382.06x = 527.32 × 224.72
  4. Step 4: Simplify right side
    382.06x = 118,499.35
  5. Step 5: Solve for x
    x = 118,499.35/382.06
  6. Step 6: Final answer
    x = 310.16

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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.