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Finding the Fourth Proportional to 494.41, 682.29 and 270.36

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Solution

The fourth proportional to 494.41, 682.29 and 270.36 is: 373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.41 : 682.29 = 270.36 : x
  2. Step 2: Convert to fraction form
    494.41/682.29 = 270.36/x
  3. Step 3: Cross multiply
    494.41x = 682.29 × 270.36
  4. Step 4: Simplify right side
    494.41x = 184,463.92
  5. Step 5: Solve for x
    x = 184,463.92/494.41
  6. Step 6: Final answer
    x = 373.10

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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.