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Finding the Fourth Proportional to 518.22, 714.89 and 321.80

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Solution

The fourth proportional to 518.22, 714.89 and 321.80 is: 443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.22 : 714.89 = 321.80 : x
  2. Step 2: Convert to fraction form
    518.22/714.89 = 321.80/x
  3. Step 3: Cross multiply
    518.22x = 714.89 × 321.80
  4. Step 4: Simplify right side
    518.22x = 230,048.83
  5. Step 5: Solve for x
    x = 230,048.83/518.22
  6. Step 6: Final answer
    x = 443.92

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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.