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Finding the Fourth Proportional to 494.46, 682.65 and 320.13

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Solution

The fourth proportional to 494.46, 682.65 and 320.13 is: 441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 682.65 = 320.13 : x
  2. Step 2: Convert to fraction form
    494.46/682.65 = 320.13/x
  3. Step 3: Cross multiply
    494.46x = 682.65 × 320.13
  4. Step 4: Simplify right side
    494.46x = 218,536.74
  5. Step 5: Solve for x
    x = 218,536.74/494.46
  6. Step 6: Final answer
    x = 441.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.