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Finding the Fourth Proportional to 584.20, 806.58 and 374.44

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Solution

The fourth proportional to 584.20, 806.58 and 374.44 is: 516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 806.58 = 374.44 : x
  2. Step 2: Convert to fraction form
    584.20/806.58 = 374.44/x
  3. Step 3: Cross multiply
    584.20x = 806.58 × 374.44
  4. Step 4: Simplify right side
    584.20x = 302,015.82
  5. Step 5: Solve for x
    x = 302,015.82/584.20
  6. Step 6: Final answer
    x = 516.97

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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.