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Finding the Fourth Proportional to 579.68, 799.44 and 468.92

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Solution

The fourth proportional to 579.68, 799.44 and 468.92 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 799.44 = 468.92 : x
  2. Step 2: Convert to fraction form
    579.68/799.44 = 468.92/x
  3. Step 3: Cross multiply
    579.68x = 799.44 × 468.92
  4. Step 4: Simplify right side
    579.68x = 374,873.40
  5. Step 5: Solve for x
    x = 374,873.40/579.68
  6. Step 6: Final answer
    x = 646.69

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