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Finding the Fourth Proportional to 543.48, 814.72 and 218.76

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Solution

The fourth proportional to 543.48, 814.72 and 218.76 is: 327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.48 : 814.72 = 218.76 : x
  2. Step 2: Convert to fraction form
    543.48/814.72 = 218.76/x
  3. Step 3: Cross multiply
    543.48x = 814.72 × 218.76
  4. Step 4: Simplify right side
    543.48x = 178,228.15
  5. Step 5: Solve for x
    x = 178,228.15/543.48
  6. Step 6: Final answer
    x = 327.94

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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.