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Finding the Fourth Proportional to 395.08, 546.14 and 378.78

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Solution

The fourth proportional to 395.08, 546.14 and 378.78 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.08 : 546.14 = 378.78 : x
  2. Step 2: Convert to fraction form
    395.08/546.14 = 378.78/x
  3. Step 3: Cross multiply
    395.08x = 546.14 × 378.78
  4. Step 4: Simplify right side
    395.08x = 206,865.81
  5. Step 5: Solve for x
    x = 206,865.81/395.08
  6. Step 6: Final answer
    x = 523.61

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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.