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Finding the Fourth Proportional to 493.93, 679.89 and 431.26

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Solution

The fourth proportional to 493.93, 679.89 and 431.26 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.93 : 679.89 = 431.26 : x
  2. Step 2: Convert to fraction form
    493.93/679.89 = 431.26/x
  3. Step 3: Cross multiply
    493.93x = 679.89 × 431.26
  4. Step 4: Simplify right side
    493.93x = 293,209.28
  5. Step 5: Solve for x
    x = 293,209.28/493.93
  6. Step 6: Final answer
    x = 593.62

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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.