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Finding the Fourth Proportional to 584.82, 806.22 and 479.39

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Solution

The fourth proportional to 584.82, 806.22 and 479.39 is: 660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 806.22 = 479.39 : x
  2. Step 2: Convert to fraction form
    584.82/806.22 = 479.39/x
  3. Step 3: Cross multiply
    584.82x = 806.22 × 479.39
  4. Step 4: Simplify right side
    584.82x = 386,489.77
  5. Step 5: Solve for x
    x = 386,489.77/584.82
  6. Step 6: Final answer
    x = 660.87

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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.