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Finding the Fourth Proportional to 342.38, 513.45 and 327.26

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Solution

The fourth proportional to 342.38, 513.45 and 327.26 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 513.45 = 327.26 : x
  2. Step 2: Convert to fraction form
    342.38/513.45 = 327.26/x
  3. Step 3: Cross multiply
    342.38x = 513.45 × 327.26
  4. Step 4: Simplify right side
    342.38x = 168,031.65
  5. Step 5: Solve for x
    x = 168,031.65/342.38
  6. Step 6: Final answer
    x = 490.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.