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Finding the Fourth Proportional to 528.80, 791.96 and 406.12

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Solution

The fourth proportional to 528.80, 791.96 and 406.12 is: 608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 791.96 = 406.12 : x
  2. Step 2: Convert to fraction form
    528.80/791.96 = 406.12/x
  3. Step 3: Cross multiply
    528.80x = 791.96 × 406.12
  4. Step 4: Simplify right side
    528.80x = 321,630.80
  5. Step 5: Solve for x
    x = 321,630.80/528.80
  6. Step 6: Final answer
    x = 608.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.