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Finding the Fourth Proportional to 543.78, 814.14 and 407.46

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Solution

The fourth proportional to 543.78, 814.14 and 407.46 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.78 : 814.14 = 407.46 : x
  2. Step 2: Convert to fraction form
    543.78/814.14 = 407.46/x
  3. Step 3: Cross multiply
    543.78x = 814.14 × 407.46
  4. Step 4: Simplify right side
    543.78x = 331,729.48
  5. Step 5: Solve for x
    x = 331,729.48/543.78
  6. Step 6: Final answer
    x = 610.04

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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.