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Finding the Fourth Proportional to 579.36, 867.42 and 405.84

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Solution

The fourth proportional to 579.36, 867.42 and 405.84 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.36 : 867.42 = 405.84 : x
  2. Step 2: Convert to fraction form
    579.36/867.42 = 405.84/x
  3. Step 3: Cross multiply
    579.36x = 867.42 × 405.84
  4. Step 4: Simplify right side
    579.36x = 352,033.73
  5. Step 5: Solve for x
    x = 352,033.73/579.36
  6. Step 6: Final answer
    x = 607.63

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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.