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Finding the Fourth Proportional to 389.22, 582.92 and 378.29

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Solution

The fourth proportional to 389.22, 582.92 and 378.29 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 582.92 = 378.29 : x
  2. Step 2: Convert to fraction form
    389.22/582.92 = 378.29/x
  3. Step 3: Cross multiply
    389.22x = 582.92 × 378.29
  4. Step 4: Simplify right side
    389.22x = 220,512.81
  5. Step 5: Solve for x
    x = 220,512.81/389.22
  6. Step 6: Final answer
    x = 566.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.