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Finding the Fourth Proportional to 528.63, 791.96 and 442.52

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Solution

The fourth proportional to 528.63, 791.96 and 442.52 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 791.96 = 442.52 : x
  2. Step 2: Convert to fraction form
    528.63/791.96 = 442.52/x
  3. Step 3: Cross multiply
    528.63x = 791.96 × 442.52
  4. Step 4: Simplify right side
    528.63x = 350,458.14
  5. Step 5: Solve for x
    x = 350,458.14/528.63
  6. Step 6: Final answer
    x = 662.96

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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.