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Finding the Fourth Proportional to 528.52, 791.88 and 412.92

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Solution

The fourth proportional to 528.52, 791.88 and 412.92 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.52 : 791.88 = 412.92 : x
  2. Step 2: Convert to fraction form
    528.52/791.88 = 412.92/x
  3. Step 3: Cross multiply
    528.52x = 791.88 × 412.92
  4. Step 4: Simplify right side
    528.52x = 326,983.09
  5. Step 5: Solve for x
    x = 326,983.09/528.52
  6. Step 6: Final answer
    x = 618.68

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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.