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Finding the Fourth Proportional to 679.60, 938.04 and 493

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Solution

The fourth proportional to 679.60, 938.04 and 493 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.60 : 938.04 = 493 : x
  2. Step 2: Convert to fraction form
    679.60/938.04 = 493/x
  3. Step 3: Cross multiply
    679.60x = 938.04 × 493
  4. Step 4: Simplify right side
    679.60x = 462,453.72
  5. Step 5: Solve for x
    x = 462,453.72/679.60
  6. Step 6: Final answer
    x = 680.48

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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.