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Finding the Fourth Proportional to 380.26, 525 and 240.43

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Solution

The fourth proportional to 380.26, 525 and 240.43 is: 331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 525 = 240.43 : x
  2. Step 2: Convert to fraction form
    380.26/525 = 240.43/x
  3. Step 3: Cross multiply
    380.26x = 525 × 240.43
  4. Step 4: Simplify right side
    380.26x = 126,225.75
  5. Step 5: Solve for x
    x = 126,225.75/380.26
  6. Step 6: Final answer
    x = 331.95

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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.