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Finding the Fourth Proportional to 493.44, 680.91 and 283.61

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Solution

The fourth proportional to 493.44, 680.91 and 283.61 is: 391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 680.91 = 283.61 : x
  2. Step 2: Convert to fraction form
    493.44/680.91 = 283.61/x
  3. Step 3: Cross multiply
    493.44x = 680.91 × 283.61
  4. Step 4: Simplify right side
    493.44x = 193,109.48
  5. Step 5: Solve for x
    x = 193,109.48/493.44
  6. Step 6: Final answer
    x = 391.35

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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.