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Finding the Fourth Proportional to 493.22, 680.71 and 283.41

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Solution

The fourth proportional to 493.22, 680.71 and 283.41 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 680.71 = 283.41 : x
  2. Step 2: Convert to fraction form
    493.22/680.71 = 283.41/x
  3. Step 3: Cross multiply
    493.22x = 680.71 × 283.41
  4. Step 4: Simplify right side
    493.22x = 192,917.77
  5. Step 5: Solve for x
    x = 192,917.77/493.22
  6. Step 6: Final answer
    x = 391.14

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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.