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Finding the Fourth Proportional to 579.60, 867.79 and 405.87

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Solution

The fourth proportional to 579.60, 867.79 and 405.87 is: 607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 867.79 = 405.87 : x
  2. Step 2: Convert to fraction form
    579.60/867.79 = 405.87/x
  3. Step 3: Cross multiply
    579.60x = 867.79 × 405.87
  4. Step 4: Simplify right side
    579.60x = 352,209.93
  5. Step 5: Solve for x
    x = 352,209.93/579.60
  6. Step 6: Final answer
    x = 607.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.