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Finding the Fourth Proportional to 500.28, 685.62 and 493.84

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Solution

The fourth proportional to 500.28, 685.62 and 493.84 is: 676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 685.62 = 493.84 : x
  2. Step 2: Convert to fraction form
    500.28/685.62 = 493.84/x
  3. Step 3: Cross multiply
    500.28x = 685.62 × 493.84
  4. Step 4: Simplify right side
    500.28x = 338,586.58
  5. Step 5: Solve for x
    x = 338,586.58/500.28
  6. Step 6: Final answer
    x = 676.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.