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Finding the Fourth Proportional to 493.29, 680.83 and 294.14

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Solution

The fourth proportional to 493.29, 680.83 and 294.14 is: 405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 680.83 = 294.14 : x
  2. Step 2: Convert to fraction form
    493.29/680.83 = 294.14/x
  3. Step 3: Cross multiply
    493.29x = 680.83 × 294.14
  4. Step 4: Simplify right side
    493.29x = 200,258.13
  5. Step 5: Solve for x
    x = 200,258.13/493.29
  6. Step 6: Final answer
    x = 405.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.