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Finding the Fourth Proportional to 528.20, 791.99 and 442.07

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Solution

The fourth proportional to 528.20, 791.99 and 442.07 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.20 : 791.99 = 442.07 : x
  2. Step 2: Convert to fraction form
    528.20/791.99 = 442.07/x
  3. Step 3: Cross multiply
    528.20x = 791.99 × 442.07
  4. Step 4: Simplify right side
    528.20x = 350,115.02
  5. Step 5: Solve for x
    x = 350,115.02/528.20
  6. Step 6: Final answer
    x = 662.85

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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.