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Finding the Fourth Proportional to 543.14, 814.73 and 234.78

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Solution

The fourth proportional to 543.14, 814.73 and 234.78 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 814.73 = 234.78 : x
  2. Step 2: Convert to fraction form
    543.14/814.73 = 234.78/x
  3. Step 3: Cross multiply
    543.14x = 814.73 × 234.78
  4. Step 4: Simplify right side
    543.14x = 191,278.08
  5. Step 5: Solve for x
    x = 191,278.08/543.14
  6. Step 6: Final answer
    x = 352.17

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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.