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Finding the Fourth Proportional to 380.43, 524.97 and 225.18

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Solution

The fourth proportional to 380.43, 524.97 and 225.18 is: 310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.43 : 524.97 = 225.18 : x
  2. Step 2: Convert to fraction form
    380.43/524.97 = 225.18/x
  3. Step 3: Cross multiply
    380.43x = 524.97 × 225.18
  4. Step 4: Simplify right side
    380.43x = 118,212.74
  5. Step 5: Solve for x
    x = 118,212.74/380.43
  6. Step 6: Final answer
    x = 310.73

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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.