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Finding the Fourth Proportional to 542.80, 813.84 and 218.24

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Solution

The fourth proportional to 542.80, 813.84 and 218.24 is: 327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.80 : 813.84 = 218.24 : x
  2. Step 2: Convert to fraction form
    542.80/813.84 = 218.24/x
  3. Step 3: Cross multiply
    542.80x = 813.84 × 218.24
  4. Step 4: Simplify right side
    542.80x = 177,612.44
  5. Step 5: Solve for x
    x = 177,612.44/542.80
  6. Step 6: Final answer
    x = 327.22

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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.