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Finding the Fourth Proportional to 543.47, 814.22 and 457.34

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Solution

The fourth proportional to 543.47, 814.22 and 457.34 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.47 : 814.22 = 457.34 : x
  2. Step 2: Convert to fraction form
    543.47/814.22 = 457.34/x
  3. Step 3: Cross multiply
    543.47x = 814.22 × 457.34
  4. Step 4: Simplify right side
    543.47x = 372,375.37
  5. Step 5: Solve for x
    x = 372,375.37/543.47
  6. Step 6: Final answer
    x = 685.18

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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.