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Finding the Fourth Proportional to 528.15, 791.79 and 411.99

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Solution

The fourth proportional to 528.15, 791.79 and 411.99 is: 617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.15 : 791.79 = 411.99 : x
  2. Step 2: Convert to fraction form
    528.15/791.79 = 411.99/x
  3. Step 3: Cross multiply
    528.15x = 791.79 × 411.99
  4. Step 4: Simplify right side
    528.15x = 326,209.56
  5. Step 5: Solve for x
    x = 326,209.56/528.15
  6. Step 6: Final answer
    x = 617.65

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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.