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Finding the Fourth Proportional to 543.42, 814.74 and 218.52

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Solution

The fourth proportional to 543.42, 814.74 and 218.52 is: 327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.42 : 814.74 = 218.52 : x
  2. Step 2: Convert to fraction form
    543.42/814.74 = 218.52/x
  3. Step 3: Cross multiply
    543.42x = 814.74 × 218.52
  4. Step 4: Simplify right side
    543.42x = 178,036.98
  5. Step 5: Solve for x
    x = 178,036.98/543.42
  6. Step 6: Final answer
    x = 327.62

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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.