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Finding the Fourth Proportional to 543.56, 814.46 and 381.48

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Solution

The fourth proportional to 543.56, 814.46 and 381.48 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 814.46 = 381.48 : x
  2. Step 2: Convert to fraction form
    543.56/814.46 = 381.48/x
  3. Step 3: Cross multiply
    543.56x = 814.46 × 381.48
  4. Step 4: Simplify right side
    543.56x = 310,700.20
  5. Step 5: Solve for x
    x = 310,700.20/543.56
  6. Step 6: Final answer
    x = 571.60

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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.