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Finding the Fourth Proportional to 493.90, 681.57 and 284.04

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Solution

The fourth proportional to 493.90, 681.57 and 284.04 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 681.57 = 284.04 : x
  2. Step 2: Convert to fraction form
    493.90/681.57 = 284.04/x
  3. Step 3: Cross multiply
    493.90x = 681.57 × 284.04
  4. Step 4: Simplify right side
    493.90x = 193,593.14
  5. Step 5: Solve for x
    x = 193,593.14/493.90
  6. Step 6: Final answer
    x = 391.97

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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.