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Finding the Fourth Proportional to 494.39, 682.25 and 270.34

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Solution

The fourth proportional to 494.39, 682.25 and 270.34 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 682.25 = 270.34 : x
  2. Step 2: Convert to fraction form
    494.39/682.25 = 270.34/x
  3. Step 3: Cross multiply
    494.39x = 682.25 × 270.34
  4. Step 4: Simplify right side
    494.39x = 184,436.05
  5. Step 5: Solve for x
    x = 184,436.05/494.39
  6. Step 6: Final answer
    x = 373.06

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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.