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Finding the Fourth Proportional to 380.94, 525.69 and 249.72

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Solution

The fourth proportional to 380.94, 525.69 and 249.72 is: 344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 525.69 = 249.72 : x
  2. Step 2: Convert to fraction form
    380.94/525.69 = 249.72/x
  3. Step 3: Cross multiply
    380.94x = 525.69 × 249.72
  4. Step 4: Simplify right side
    380.94x = 131,275.31
  5. Step 5: Solve for x
    x = 131,275.31/380.94
  6. Step 6: Final answer
    x = 344.61

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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.