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Finding the Fourth Proportional to 538.78, 806.34 and 447.65

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Solution

The fourth proportional to 538.78, 806.34 and 447.65 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 806.34 = 447.65 : x
  2. Step 2: Convert to fraction form
    538.78/806.34 = 447.65/x
  3. Step 3: Cross multiply
    538.78x = 806.34 × 447.65
  4. Step 4: Simplify right side
    538.78x = 360,958.10
  5. Step 5: Solve for x
    x = 360,958.10/538.78
  6. Step 6: Final answer
    x = 669.96

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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.