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Finding the Fourth Proportional to 543.56, 814.58 and 421.24

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Solution

The fourth proportional to 543.56, 814.58 and 421.24 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 814.58 = 421.24 : x
  2. Step 2: Convert to fraction form
    543.56/814.58 = 421.24/x
  3. Step 3: Cross multiply
    543.56x = 814.58 × 421.24
  4. Step 4: Simplify right side
    543.56x = 343,133.68
  5. Step 5: Solve for x
    x = 343,133.68/543.56
  6. Step 6: Final answer
    x = 631.27

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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.