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Finding the Fourth Proportional to 378.92, 523.10 and 294.71

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Solution

The fourth proportional to 378.92, 523.10 and 294.71 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 523.10 = 294.71 : x
  2. Step 2: Convert to fraction form
    378.92/523.10 = 294.71/x
  3. Step 3: Cross multiply
    378.92x = 523.10 × 294.71
  4. Step 4: Simplify right side
    378.92x = 154,160.92
  5. Step 5: Solve for x
    x = 154,160.92/378.92
  6. Step 6: Final answer
    x = 406.84

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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.