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Finding the Fourth Proportional to 538.24, 806.96 and 364.42

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Solution

The fourth proportional to 538.24, 806.96 and 364.42 is: 546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.24 : 806.96 = 364.42 : x
  2. Step 2: Convert to fraction form
    538.24/806.96 = 364.42/x
  3. Step 3: Cross multiply
    538.24x = 806.96 × 364.42
  4. Step 4: Simplify right side
    538.24x = 294,072.36
  5. Step 5: Solve for x
    x = 294,072.36/538.24
  6. Step 6: Final answer
    x = 546.36

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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.