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Finding the Fourth Proportional to 528.38, 791.55 and 412.28

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Solution

The fourth proportional to 528.38, 791.55 and 412.28 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 791.55 = 412.28 : x
  2. Step 2: Convert to fraction form
    528.38/791.55 = 412.28/x
  3. Step 3: Cross multiply
    528.38x = 791.55 × 412.28
  4. Step 4: Simplify right side
    528.38x = 326,336.28
  5. Step 5: Solve for x
    x = 326,336.28/528.38
  6. Step 6: Final answer
    x = 617.62

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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.