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Finding the Fourth Proportional to 493.79, 681.56 and 297.43

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Solution

The fourth proportional to 493.79, 681.56 and 297.43 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.79 : 681.56 = 297.43 : x
  2. Step 2: Convert to fraction form
    493.79/681.56 = 297.43/x
  3. Step 3: Cross multiply
    493.79x = 681.56 × 297.43
  4. Step 4: Simplify right side
    493.79x = 202,716.39
  5. Step 5: Solve for x
    x = 202,716.39/493.79
  6. Step 6: Final answer
    x = 410.53

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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.