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Finding the Fourth Proportional to 538.20, 806.08 and 421.92

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Solution

The fourth proportional to 538.20, 806.08 and 421.92 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 806.08 = 421.92 : x
  2. Step 2: Convert to fraction form
    538.20/806.08 = 421.92/x
  3. Step 3: Cross multiply
    538.20x = 806.08 × 421.92
  4. Step 4: Simplify right side
    538.20x = 340,101.27
  5. Step 5: Solve for x
    x = 340,101.27/538.20
  6. Step 6: Final answer
    x = 631.92

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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.