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Finding the Fourth Proportional to 493.05, 680.36 and 283.29

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Solution

The fourth proportional to 493.05, 680.36 and 283.29 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.05 : 680.36 = 283.29 : x
  2. Step 2: Convert to fraction form
    493.05/680.36 = 283.29/x
  3. Step 3: Cross multiply
    493.05x = 680.36 × 283.29
  4. Step 4: Simplify right side
    493.05x = 192,737.77
  5. Step 5: Solve for x
    x = 192,737.77/493.05
  6. Step 6: Final answer
    x = 390.91

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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.