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Finding the Fourth Proportional to 606.42, 835.38 and 584.82

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Solution

The fourth proportional to 606.42, 835.38 and 584.82 is: 805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.42 : 835.38 = 584.82 : x
  2. Step 2: Convert to fraction form
    606.42/835.38 = 584.82/x
  3. Step 3: Cross multiply
    606.42x = 835.38 × 584.82
  4. Step 4: Simplify right side
    606.42x = 488,546.93
  5. Step 5: Solve for x
    x = 488,546.93/606.42
  6. Step 6: Final answer
    x = 805.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.