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Finding the Fourth Proportional to 528.96, 791.64 and 382.92

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Solution

The fourth proportional to 528.96, 791.64 and 382.92 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 791.64 = 382.92 : x
  2. Step 2: Convert to fraction form
    528.96/791.64 = 382.92/x
  3. Step 3: Cross multiply
    528.96x = 791.64 × 382.92
  4. Step 4: Simplify right side
    528.96x = 303,134.79
  5. Step 5: Solve for x
    x = 303,134.79/528.96
  6. Step 6: Final answer
    x = 573.08

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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.