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Finding the Fourth Proportional to 493.04, 680.44 and 283.22

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Solution

The fourth proportional to 493.04, 680.44 and 283.22 is: 390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.04 : 680.44 = 283.22 : x
  2. Step 2: Convert to fraction form
    493.04/680.44 = 283.22/x
  3. Step 3: Cross multiply
    493.04x = 680.44 × 283.22
  4. Step 4: Simplify right side
    493.04x = 192,714.22
  5. Step 5: Solve for x
    x = 192,714.22/493.04
  6. Step 6: Final answer
    x = 390.87

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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.