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Finding the Fourth Proportional to 493.12, 680.76 and 318.80

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Solution

The fourth proportional to 493.12, 680.76 and 318.80 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.12 : 680.76 = 318.80 : x
  2. Step 2: Convert to fraction form
    493.12/680.76 = 318.80/x
  3. Step 3: Cross multiply
    493.12x = 680.76 × 318.80
  4. Step 4: Simplify right side
    493.12x = 217,026.29
  5. Step 5: Solve for x
    x = 217,026.29/493.12
  6. Step 6: Final answer
    x = 440.11

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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.