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Finding the Fourth Proportional to 543.78, 814.46 and 421.68

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Solution

The fourth proportional to 543.78, 814.46 and 421.68 is: 631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.78 : 814.46 = 421.68 : x
  2. Step 2: Convert to fraction form
    543.78/814.46 = 421.68/x
  3. Step 3: Cross multiply
    543.78x = 814.46 × 421.68
  4. Step 4: Simplify right side
    543.78x = 343,441.49
  5. Step 5: Solve for x
    x = 343,441.49/543.78
  6. Step 6: Final answer
    x = 631.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.