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Finding the Fourth Proportional to 493.82, 681.46 and 383.43

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Solution

The fourth proportional to 493.82, 681.46 and 383.43 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 681.46 = 383.43 : x
  2. Step 2: Convert to fraction form
    493.82/681.46 = 383.43/x
  3. Step 3: Cross multiply
    493.82x = 681.46 × 383.43
  4. Step 4: Simplify right side
    493.82x = 261,295.96
  5. Step 5: Solve for x
    x = 261,295.96/493.82
  6. Step 6: Final answer
    x = 529.13

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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.