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Finding the Fourth Proportional to 543.23, 814.85 and 381.64

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Solution

The fourth proportional to 543.23, 814.85 and 381.64 is: 572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.23 : 814.85 = 381.64 : x
  2. Step 2: Convert to fraction form
    543.23/814.85 = 381.64/x
  3. Step 3: Cross multiply
    543.23x = 814.85 × 381.64
  4. Step 4: Simplify right side
    543.23x = 310,976.84
  5. Step 5: Solve for x
    x = 310,976.84/543.23
  6. Step 6: Final answer
    x = 572.46

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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.