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Finding the Fourth Proportional to 543.14, 814.19 and 347.59

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Solution

The fourth proportional to 543.14, 814.19 and 347.59 is: 521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 814.19 = 347.59 : x
  2. Step 2: Convert to fraction form
    543.14/814.19 = 347.59/x
  3. Step 3: Cross multiply
    543.14x = 814.19 × 347.59
  4. Step 4: Simplify right side
    543.14x = 283,004.30
  5. Step 5: Solve for x
    x = 283,004.30/543.14
  6. Step 6: Final answer
    x = 521.05

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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.