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Finding the Fourth Proportional to 380.65, 525.09 and 249.70

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Solution

The fourth proportional to 380.65, 525.09 and 249.70 is: 344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.65 : 525.09 = 249.70 : x
  2. Step 2: Convert to fraction form
    380.65/525.09 = 249.70/x
  3. Step 3: Cross multiply
    380.65x = 525.09 × 249.70
  4. Step 4: Simplify right side
    380.65x = 131,114.97
  5. Step 5: Solve for x
    x = 131,114.97/380.65
  6. Step 6: Final answer
    x = 344.45

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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.