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Finding the Fourth Proportional to 378.92, 523.40 and 342.06

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Solution

The fourth proportional to 378.92, 523.40 and 342.06 is: 472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.92 : 523.40 = 342.06 : x
  2. Step 2: Convert to fraction form
    378.92/523.40 = 342.06/x
  3. Step 3: Cross multiply
    378.92x = 523.40 × 342.06
  4. Step 4: Simplify right side
    378.92x = 179,034.20
  5. Step 5: Solve for x
    x = 179,034.20/378.92
  6. Step 6: Final answer
    x = 472.49

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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.